Find dy/dx for the equation x^32x^2y3xy^2=38 asked in CALCULUS by andrew Scholar derivatives implicitdifferntiationDy/dx = (xy)^2 Solution d/dx (xy)^2 d/dx x² 2xy y² d/dx(x²) 2d/dx(xy) d/dx(y²) (2x)dx/dx 2x{d/dx(y)} y{d/dx(x)} (2y)dy/dx 2x 2(x)dy/dx y(1) (2y)dy/dx 2x 2y (2x)dy/dx (2y)dy/dx 2x 2y dy/dx(2x 2y) dy/dx(2x 2y) = –2x – 2y dy/dx(2(x y)) = –2(x y) dy/dx = –2(x y) / 2(x y) dy/dx = –1(a) If dx/dt = 15, find dy/dt, when x = 4 (b) If dy/dt = 2, find dx/dt, when x = 40 Solution We will differentiate the given function with respect to t using the chain rule and substitute the given values a) Given, y = √(2x 1) can be written as y = (2x 1) 1/2 Differentiate the function w r to t
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X=2at^2 y=at4 find dy/dx-Piece of cake Unlock StepbyStep Natural LanguageTherefore, dy/dx=3x^24x We are then asked to find the two points on the curve where the gradient is 4;
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Find dy/dx if ysin^2(x) 4e^y = 3ln(x) Given the fourth order homogeneous constant Derivatives The Formal Definition The derivative in calculus is the rate of change of a functionImplicit derivative (dy)/(dx), x^2xyy^2=4 Implicit Derivative Calculator Symbolab Free implicit derivative calculator implicit differentiation solver stepbystep This website uses cookies to ensure you get the best experience By using this website, Let y=tan(3x4) Find the differential dy when x=5 and dx=03 Find the differential dy when x=5 and dx=06 Get the answers you need, now!
#1 cerium 15 0 Homework Statement do I use the integrating factor for this question and if I do when i rearrange y^2 to the other side into the form of p(x)y does x become 1 Homework Equations The Attempt at a Solution The general solution is y=(2(e^(4(xC))1))/(e^(4(xC))1) This is a first order separable differential equation dy/dx=y^24 dy/(y^24)=dx intdy/(y^24)=intdx Perform partial fraction 1/(y^24)=A/(y2)B/(y2) =(A(y2)B(y2))/((y^24)) Compare the numerators 1=A(y2)B(y2) Let y=2, =>, 1=4A, A=1/4 Let y=2, =>, 1=4B, B=1/4 Therefore, 1/(y^24)=(Simple and best practice solution for (4xxy^2)dx(yx^2y)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve it
If y = 2^x, find dy/dx Q If y = 2^x, find dy/dx ANSWER 1) Take Logs of both sides of our equation y = 2^x So we get log (y)=log (2^x) 2) Apply relevant log rule to rhs Log rule log (a^b) = b log (a) nb the dot between b and log (a) represents x / multiply / This is the function y = x 3 2x 1 Its derivative is 3x 2 2 And it passes through the point (1,4) And now for the graph of the function, We can see that it passes through (1,4) We were given the `dy/dx` expression and we have found the "y = " expression and we can graph it And it's a cubic MusicThis video screencast was created with Doceri on an iPad Doceri is free in the iTunes app store Learn more at http//wwwdocericom
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Simple and best practice solution for (xy2)dx(xy4)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve it The joint PMF, pX,Y(x,y), of the random variables X and Y is given by the following table (see the science of uncertainty) 1 Find the value of the constant c c = 2 Find pX(1) pX(1)= 1/2 3 Consider theThis can be solved by setting the derivative we just calculated to equal four ( since the derivative function gives us the value of the gradient at each xcoordinate)
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Dy dx = x2 y = x2 {z} g(x) 1 y {z} f(y) 2 Separate the variables y dy = x2 dx 3 Integrate both sides Z y dy = Z x2 dx y2 2 = x3 3 C 0 4 Solve for y y2 2 = x3 3 C 0 y2 = 2x3 3 C y = r 2x3 3 C Note that we get two possible solutions from the If we didn't have an initial condition, then we would leave the 2in the nal answer, or`x^2 xy y^2 = 4` Find `(dy/dx)` by implicit differentiation 2 Educator answers Math Latest answer posted at 1252 PMCalculus Find dy/dx x^24xyy^2=4 x2 4xy y2 = 4 x 2 − 4 x y y 2 = 4 Differentiate both sides of the equation d dx (x2 4xy y2) = d dx(4) d d x ( x 2 − 4 x y y 2) = d d x ( 4) Differentiate the left side of the equation Tap for more steps
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Find dy/dx given x^3 3 x^2 y 2 x y^2 = 12 WolframAlphaAnswer (1 of 8) dy/dx = 12x^3 4x 0 d/dx of y is dy/dx d/dx of 3x^4 is, according to the power rule, 12x^3 The power rule dictates that one simply drops the exponent and makes it a coefficient of the variable and then subtracts one from the exponent d/dx of x^n = nx^(n1) d/dx of 2x^D/dx x^2 y^4, d/dy x^2 y^4 WolframAlpha Volume of a cylinder?
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Dy/dx = x/y Example 6 Differentiate x3 y2=16 implicitly Solution Differentiating x 3 y 2 =16 with respect to x we get;Lela00 Lela00 Mathematics College answeredFind $ \dfrac{dy}{dx} $ if $ y = 2u^2 3u $ and $ u = 4x 1 $ I am trying to use the chain rule on it $$ \dfrac{dy}{dx} = \dfrac{dy}{du} \dfrac{du}{dx} $$ My work so far $$ \dfrac{d}{du}(2u^23u) * \dfrac{d}{dx}(4x1) = (4u3)(4) $$ However I am not absolutely sure I am doing it right and I don't have the answer in my book
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Find dy/dx x^2xyy^2=4 Differentiate both sides of the equation Differentiate the left side of the equation Tap for more steps Differentiate Tap for more steps By the Sum Rule, the derivative of with respect to is Differentiate using the Power Rule which states that is where Ex 94, 9 For each of the differential equations in Exercises 1 to 10, find the general solution 𝑑𝑦/𝑑𝑥=sin^(−1)𝑥 𝑑𝑦/𝑑𝑥=sin^(−1)𝑥 𝑑𝑦 = sin^(−1)𝑥 dx Integrating both sides ∫1 〖𝑑𝑦 〗= ∫1 〖sin^(−1)〖𝑥1 𝑑𝑥〗 〗 y = sin−1 x ∫1 〖1 𝑑𝑥 −∫1 1/√(1 − 𝑥^2 ) ∫1 〖1𝑑𝑥 〗 〗 dx Integratin Solve Dy/dx=xy^2 Thread starter cerium;
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answered by ManishaBharti (650k points) selected by faiz Best answer u v = 2 => du/dx dv/dx = 0 here u = xy & v = yx ⇒ ln u = y ln x & ln v = x ln y Please log in or register to add a comment ← Prev Question Next Question →Click here👆to get an answer to your question ️ Find dy/dx if y = sin^1 ( 2^x 1/1 4^x )Transcribed image text Find dy/dx x = t^2, y = 4 4t dy/dx = Find dy/dx x = 6 Squareroot t y = 5 t dy/dx = Find dy/dx and d^2y/dx^2, and find the slope and concavity (if possible) at the given value of the parameter (If an Parametric Equations/x = Squareroot t, y = 8t 8 Point/t = 9 dy/dx = d^2y/dx^2 = slope concavity
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Let's simplify it First dy/dx = (y/x 1)/(y/x 1) Taking y = vx dy/dx = v xdv/dx Therefore, dx/x = (v 1)dv / (v^2 1) Integrating we get log (1/x) logc = arctan (y/x) 1/2 log3x 2 2y dy/dx =0 2y dy/dx = 3x 2 dy/dx = 3x 2 /2y Now it might be very clear to you what exactly the difference is between an implicit and an explicit function Math If y = sin−1 x, then sin y = x,−π/2 ≤ y ≤ π/2 Therefore, to find y = sin−1 (−3/22, we must find an angle y whose sine is 3/2 There are many possible angles with this sine, but the range of y = sin−1 x is You can view more similar questions or ask a new question
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Example 1 Solve the differential equation dy / dx 2 x y = x Solution to Example 1 Comparing the given differential equation with the general first order differential equation, we have P(x) = 2 x and Q(x) = x Let us now find the integrating factor u(x) u(x) = e ò P(x) dx = e ò2 x dx = e x 2 We now substitute u(x)= e x 2 and Q(x) = x in the equation u(x) y = ò u(x) Q(x) dx to obtain 0votes 1answer If x = 2bt/(1 t^2), y = a((1 t^2)/(1 t^2)), show that dy/dx = (b^2 y)/a^2 x asked2 daysagoin Differentiationby Malti(292kpoints) differentiation class12 0votes 1answer If x = sin^1(e^t), y = y = √(1 e^2t), show that sin x dy/dx = 0 dy ——— = 2xy², y = 2, when x = – 1 dx Separate the variables in the equation above Integrate both sides Take the reciprocal of both sides, and then you have In order to find the value of C₁ , just plug in the equation above those known values for x and y, then solve it for C₁ y = 2, when x = – 1 So,
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If y = logex ((x2/x3))3/4 , then (dy/dx) = (A) 1 (3/4) ( (1/x2) (1/x 3) ) (B) 1 (3/4) ( (1/x2) (1/x 3) ) 1 (3/4) ( (1/x2Click here👆to get an answer to your question ️ If √(x) √(y) = 4 , then find dx/dy at y = 1Δy Δx = f (x Δx) − f (x) Δx 4 Reduce Δx close to 0 We can't let Δx become 0 (because that would be dividing by 0), but we can make it head towards zero and call it "dx" Δx dx You can also think of "dx" as being infinitesimal, or infinitely small Likewise Δy becomes very small and we call it "dy", to give us dy dx = f (x dx
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How to find dy/dx by implicit differentiation given that x^2 4xy y^2 = 4Here's the 4 simple steps we will take in order to find dy/dx from the given equ Find dy/dx ,if y=x^4y^4=4ax^2 anveshasaluja2912com anveshasaluja2912com Math Secondary School answered Find dy/dx ,if y=x^4y^4=4ax^2 1 See answer Advertisement Advertisement anveshasaluja2912com is waiting for your help Add your answer and earn pointsCOMEDK 12 If y= log tan((π/4) (x/2)) , then (dy/dx) = (A) sec x (B) sin x cosec x (D) sec (x/2) Check Answer and Solution for
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Here we will look at solving a special class of Differential Equations called First Order Linear Differential Equations First Order They are "First Order" when there is only dy dx, not d 2 y dx 2 or d 3 y dx 3 etc Linear A first order differential equation is linear when it can be made to look like this dy dx P(x)y = Q(x) Where P(x) and Q(x) are functions of x To solve it there is aSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more2 (x), then dy/dx is equal to (1) log2e/loge x (2) log2e/x logx 2 (3) log2x/loge 2 (4) log2e/ xloge x Solution Given y = log 2 log 2 (x) We know log b a = log a/log b
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Math Calculus Calculus questions and answers Find dy/dx and d2y/dx2 x = t2 2, y = t2 5t dy dx = d2y dx2 =Answer to Find dy/dx for y = (ln x)/(1 x^2) By signing up, you'll get thousands of stepbystep solutions to your homework questions You can Ex 56, 1 If x and y are connected parametrically by the equations without eliminating the parameter, Find 𝑑𝑦/𝑑𝑥, x = 2〖𝑎𝑡〗^2, y = 〖𝑎𝑡〗^4Here 𝑑𝑦/𝑑𝑥 = (𝑑𝑦/𝑑𝑡)/(𝑑𝑥/𝑑𝑡) Calculating 𝒅𝒚/𝒅𝒕 𝑦 = 〖𝑎𝑡〗^4 𝑑𝑦/𝑑𝑡 " =" 〖4𝑎𝑡〗^(4 −1) "=" 〖4𝑎𝑡〗^3 Calculating 𝒅𝒙/𝒅𝒕 𝑥 = 2〖𝑎𝑡〗^2 𝑑𝑥/𝑑𝑡
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