Find the derivative of the function. f(x) = sin-(4x) f'(x) = %3D

Q: Find the derivative of the given function. f (x) = sin(ln x)

A: The given function is fx=sinlnx We have to find the derivative of this function.

Q: find the derivative of the function  f(x) = e5x sec x

A:

Q: Find the derivative of the function. y = cos (sin-1 x)

A: Derivative

Q: Find the derivative of the function. y = ln(2 − e5x)

A:

Q: Find the derivative of y = cos"+8 (x).

A:

Q: Find the derivative of the function. f(x) = ln 3x

A:

Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: Find the derivative of y=ln^3(tan^-1x)

A:

Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: find the derivative of y with respect to the appropriatevariable. y = ln (x2 + 4) - x tan-1 ( x/2)

A: We use the chain rule and product rule

Q: Find the derivative of  y=sin^-1(cos(x))

A: We can find the derivative as below

Q: Find the derivative of the function. y = sin-(6x + 1) y' =

A:

Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: find the derivative of y with respect to the appropriate variable.31. y = cos-1 x - x sech-1 x…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the derivative of the function. y = ln(ln x)

A:

Q: Find the 3rd derivative of the function y=excosx.

A:

Q: Find the derivative of y with respect to x 3tan-1x + sin-1x = 4

A:

Q: 3. Find derivative of the function y = x tan-(4x)

A: we have to find the derivative of y

Q: Find the derivative of the function. y = sin ( xcosx )

A:

Q: Find the fourth derivative of the given function. y = sinx

A: Given query is to find the fourth derivative.

Q: Find the derivative of the function. y = (ln x)4

A:

Q: Find the derivative of the function. y = ln√(x2 − 4)

A:

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: y = (cosx)ln*x|

A:

Q: Find the second derivative of the function. y = x sin2 x

A: Given information: The function is y==xsin2x To find the second derivative, first differentiable…

Q: Find the derivative of the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Find the 62th derivative of y = cos(x)

A: y=cos (x)

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: Find the derivative of the function. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: 3. Find the derivative of y = csc" (sec x), 0<x< 2n.

A: Given ddx(arccsc(sec(x))Let sec(x)=uWe know that ddx(cosec-1…

Q: find the derivative of y with respect to the appropriate variable.23. y = (x2 + 1)sech (ln x)

A: Definition used -             ddxsech(x) = -tanhxsechx          Product rule of derivative -…

Q: Find the derivative of the function.

A:

Q: find the derivative of y with respect to x. y= ln3x

A: We can solve the given problem using chain rule derivative.

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: Find the derivative of the function y = x2 Sin x - 2 Cos x.

A: y=x2sinx-2cosx

Q: Find the derivative of the function. f(x) = ln(x − 1)

A:

Q: Find the derivative. y=cos(ln 4x^6)

A:

Q: Find the derivative of the following function. X- y = 3 sin x -3 dx X- sin x =

A:

Q: Find the derivative of the sine function y=sinx.

A: We have to find derivative of sine function: y=sin x Finding derivative by first principle of…

Q: Find the derivative of the function. y = sin-1(4x + 1) У'%3

A:

Q: Find the derivative of the function g(x) = ln √2x

A:

Q: f y = (sin x)x b

A:

Q: Find the derivative of y with respect to x. y = 3 sin -1 (5x 3)

A: Given data:     The given expression is: y=3sin-1(5x3).   Assume 5x3=u and differentiate it with…

Q: Find the derivative of the function. 9 y =- Vx + 1

A:

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: Find the derivative of the function y = ln 5x/(1 − x)

A: