Given x+ xy - 6x 3: dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx dy from that dx (b) Solve the equation for y as a function of r, and find equation. %3D dy | dx (c) Confirm that the two results are consistent by expressing the derivative in part (a) as a function of z alone. dy dx

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y2 −3x3y4 =1

A: We have to find  dy/dx of curve equation  (implicitly).Curve equation is given by:

Q: Find the derivative of the given function. y = V3x dy dx

A: Given: y=3x4 To find: dydx

Q: Find the indicated derivative and simplify. dy for y = 36x dx (x8+ 15) 6. dy -口 dx

A: We have to find derivative

Q: (a) Find dy – Ay, if y = 6 – 7x (b) Find the derivative of f(x) = 2(cos4x - sin4x) Solution.

A: Solved below

Q: Find the indicated derivative.   dy dx for y =  1 − 2x2 x4 − 2x2 + 4  dy dx =

A: We have to find derivative

Q: Given x° + xy – 6x = 5 : dy (a) Find by differentiating implicitly. Do not substitute for y. dx dy…

A: As per given question  We have to determine derivative of given equation

Q: - 9x Find the derivative of y with respect to x if y = e dy %3D dx

A:

Q: dy by differentiating implicitly. Do not subs da (a) Find dy dx (b) Solve the equation for y as a…

A: We will find the derivative.

Q: Given that the first derivative of x^81+y^81=-36 is given by dy/dx=kx^c/y^c,what is the value of k?

A:

Q: Given x³ + xY 6x = 1 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

A: Let's find.

Q: Given: x3 + y3 - 3xy 0, solve for dy by implicit differentiation. %3D dx

A: The given function is  x3+y3-3xy= 0  We have to find dy/dx.

Q: Find dy for the given values of x and Ax. y = 3x-2x; x= -2; Ax= 0.5 What is the derivative of y? dy…

A: Given: y=3x3-2x

Q: Differentiate implicitly to find dx exty = 9x+8y+7 Evaluate the derivative of the each side of the…

A:

Q: Let y= 9 x5 – 1. Find A, B, and C so that dY = AxB + C. A В C = Then find the value of the…

A:

Q: Given x° + xy – 6x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy…

A: We can solve all the parts as below

Q: 3y' –4x²y+ xy = -5 %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 7)y= 2e* +2x -2.x

A: we have to find the first derivative of y

Q: Given x + xy – 2x = 4 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

A:

Q: 2. If y = x +3x-2x+1, find the values of the following e. derivative, i. У"(2) d'y ii. dx ii. y" (2)

A: Please refer to the image below

Q: Find the derivative of y with respect to x. y = sin (e 5t) e 5t e OA. 1- e 10t 5e 5t O B. 1- e 10t 5…

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Q: Find dy/dx, using implicit differentiation. e*y 8 dy dx Compare your answer with the result obtained…

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+x5y4=−1

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Q: In Exercises, find the indicated derivatives.7.  dy/dx if y = 2x3               8. dr/ds if r = s3 -…

A: Given: 7. y=2x38. r=s3-2s2+3 To Find: dydx=?

Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. у %3D 2. f…

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Q: For the function y = 10 e¤ the second order derivative dy is dx? -3 10e + 4x -3 O 10e – 4x 1 10e +…

A:

Q: 6) Find dy , where is defined as a function of implicitly by the equation below. dx y + 2x²y³ = 1

A: Given function, y3+2x2y5=1

Q: Find the derivative of y with respect to t. -1(e 3t) y = csc dy dt

A:

Q: Find the indicated derivative. dx y = 5F+ 9. x=4 whent =1, dy = 5; = ? dt dt Please round the answer…

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Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. y xvx 2.…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Find dy for the given values of x and Ax. 13 y= 4x" - 2x; x = -2; Ax= 0.3 What is the derivative of…

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Q: Find the derivative, dy/dx of the following using the chain rule: a) y= . . x+1 d) y= 3x+1" f)…

A:

Q: Given x³ + xy - 4x = 4: dy (a) Find by differentiating implicitly. Do not substitute for y. dx dy dx…

A: The given expression is x3+xy-4x=4. The main objective is to calculate the value of dydx by…

Q: dy da Find the derivative of the function x° In 3y = y sin 3x + e5 x %3D Answer:

A:

Q: Find dy for the given values of x and Ax. y = x° - 5x + 5; x = 1; Ax = - 0.4 What is the derivative…

A: Here, the given function is: y=x3-5x2+5

Q: Given that f(x) = 9x + x³ + 6, find the derivative of f- by using dy the formula dx 1 Check your…

A:

Q: Given the equation y = 5 In| 6y | Find the Implicit derivative " dy/dx" of the function. You will…

A: We can find the derivative as below.

Q: Given x + xy – 2x = 3 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx…

A:

Q: Find the derivative of y with respect to x. - 4x y = (3 + 12x) e dy %3D dx

A: Given function is

Q: Assuming that y is defined implicitly by the equation a2 – y² = 61, the derivative dy at - dx (2,…

A:

Q: Find the indicated derivative. 1 - 2x2 x* — 2х2 + 6 dy for y : dx - dy %3D dx

A: Quotient rule of differentiation:…

Q: Let y= 8 x2 - 7. dy = AxB + C. dx Find A, B, and C so that %3D A = B = C = Then find the value of…

A: Given  y = 8x2-7   ......... (1) We have to find the value of A, B, and C such that dydx=AxB+C…

Q: Find the second derivative of the function. x4 + 6 y = x2 a²y 36 O A. = 2 - dx2 d²y 36 OB. = 2+ 4 X…

A: We have to find the second derivative of the function: y=x4+6x2 Rewriting the function,…

Q: Given the equation x³y!l – x''y³ = 10, find dx by implicit differentiation. %3D

A: The given equation is x5y11-x11y5=10To find dydx by implicit differentiation

Q: Find dy/dx, using implicit differentiation. y In(x) + y = 6 dy dx Compare your answer with the…

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Q: - 18x Find the derivative of y with respect to x if y = e dy %3D dx

A: We have to find the derivative

Q: Consider the step size h = 0.1 and h = 0.001, how does the step size affect the accuracy in %3D…

A: Given that, A=82, B=16.4f(x)=Aex+Bx2sinxFor the given values of A and B,f(x)=82ex+16.4x2sinxWe need…

Q: Given r + xy - 3x 2: dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx dy…

A:

Q: Let y= 6 x5 − 3.Find A, B, and C so that  dy dx  = AxB + C. A = B = C = Then find the value…

A: Consider the function