Find the indicated derivative using implicit differentiation. x²y – y2 = 5; dy dx dy dx

Q: e) y= (8x+1)*(9x-3)'

A: Given,

Q: Find derivative of the following function. 5x -5x y%3D dy

A:

Q: Find the derivative of the function 1 4. y= 4x +8x dy

A:

Q: Find the derivative. x10 12) y = cos /t dt

A: We differentiate both sides with respect to x

Q: In the given question, use implicit differentiation to find dy/dx. exy - x2 - y2 =10

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of the function y = 8 cos(2x)

A:

Q: Find the derivative of the function. y= xe¯kx

A:

Q: Find the derivatives of x=sin h2y

A:

Q: Use the implicit differentiation to find the derivative of y with respect to x dy/dx=?

A:

Q: Use the quotient rule to find the derivative of the following. x2 - 9x + 1 y% = x2 +2 dy dx

A: See attached file for a step by step explanation.

Q: Find the derivative of the function

A: The derivative of any function y=f(x),containing the variable x is defined as the rate with which…

Q: Find the derivatives of the function defined as follows. y = sin e10x

A: Use the chain rule of derivation to find the derivative of y=sin(e10x). Find the derivative of sin…

Q: Find the derivative of the given function. y= 2x- 13x +35x +5 dy 口 dx %3D

A:

Q: Find the derivative of the following function. y = 4 sec x+3 csc x dy dx ||

A:

Q: Find the derivative d/dx(x).

A: Given the derivative  ddxx

Q: Z = 1+x2 ; d'z/dx?

A: Given: Z = 21+x2 To find: The derivative, d2 Zdx2 in simplified form.

Q: Find the derivative of the following function.: y=ln(x2+4)2π

A: The given function is,

Q: dy Use implicit differentiation to find the derivative, ,if dx y? – 2x?y + 4x = 5

A: Given Expression: y2-2x2y+4x=5

Q: Find the derivative of the function y = e−8x

A: Given: y=e-8x we know that ddxekx=kekx

Q: Find the derivative. y = In /x+7 y' = D

A:

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: Given equation x3+y3=x3y3

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: suppose that x and y are related by the given equation and use implicit differentiation to determine…

Q: suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: find the indicated derivative. dy/dx if y = x-4

A: The derivative of a function of the form  y=fx is a measure of rate at which the value y  changes…

Q: Find the derivative of the function. 1 6 y = 4x +8x dy %3D dx

A:

Q: Find the derivative of the function. y = 7xe−kx

A: Differentiate both sides w.r.t xUse product rule on the right side.

Q: Find the derivative of the following function. y = 7x sin -1x dx 히종

A: The given function is,

Q: Find the derivative of the function y = e2x tan 2x

A:

Q: Cos 0 d0 y =

A:

Q: Find the derivative of the function. 1 y = 4/x +3x dy dx |00 %3D

A: Use formulas of derivatives to find dy/dx

Q: Find the derivative of the given function. y =x² Vx-

A:

Q: Find the derivative of the function. 9x g(x) = [™ cos(r³]ct Cosx

A:

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: Use the rules of differentiation to find the derivative of the function.                y = t2 − 3t…

A: Differentiation: y=t2-3t+1Derivative of the function we need to find out.We knowddx(xn)=n.xn-1

Q: Find the derivative of the given function. y= 6x (7-6x)6 dy dx

A:

Q: Find the derivative of the following functions: 2) y = sec(x*) + tan(xº ) + Vx2

A:

Q: Calculate the derivative of the following function. = (x + 8) (x² - 1))° dy dx

A: By using the following equations we can find the derivative of the given function.

Q: Find the derivative of the function. - 6 y = dy %3D dx

A: For the solution follow the next step.

Q: help please

A: The derivative of the sum of two functions is the sum of the derivatives of the two functions. i.e.…

Q: Find dx by implicit differentiation for the function x* + x³y3 + y7 = 8

A:

Q: Find the derivative of the following function. y = 2 sec x+ csc x dy dx

A: The given function is,

Q: Find the derivative of the following function. y= -87x2 -9 dy 口 dx

A:

Q: Calculate the derivative of the following function. y = (7x-8) dy dx

A:

Q: y" a ||

A: This is the problem of Autonomous Differential equations.

Q: By using the definition of the derivative, find d/dx   1/(2−x).

A:

Q: Find the derivative of the function. y = sin ( r2 + 1 )

A: Our Aim is to find the derivative of the function given below:-y=sin (r2+1) -(i)

Q: Find the derivative of the function y = 9 tan(2x). dy dx 11

A:

Q: Find the derivative or f'(x) for the following: dx y= x²- 3x + 4 2х-5 (x) = 3x+2

A: