Which is the derivative (dy/dx) of y=sin-1 tanx?

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

Q: y = Vx sin-1(x)

A:

Q: What is the derivative of y = In (tan (x)), with respect to 'z?

A: Given y=lntanx To differentiate given function apply chain rule dydx=dydududx

Q: Find the derivative of the trigonometric function.

A: Given :           h(x) = sin 2x cos 2x   To find h'(x)

Q: Find the derivatives of x=sin h2y

A:

Q: Find the indicated derivative using implicit differentiation. 4. dy 5xy - 5 dx dy dx

A: Given equation :

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: Find the derivative of the function. y = sin(tan 7x)

A: To solve this type of questions we use chain rule. df(g(x)) dx= f'(g(x)) g'(x)in given ques. f(x)…

Q: Find the derivative of the function

A: We use the chain rule

Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

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

A: Given : y = sintan3x

Q: Evaluate the derivative of the function. y= sec "(2 In 8x) dx

A:

Q: . Find the derivative with respect to x: y = tan¬(Vx² –- 1) + csc¯²(x),x > 1

A: Given thaty=arctanx2-1+arccscx To find its derivative

Q: 4 1日4)+e dy=

A:

Q: What is the derivative of: y = arcsin(cos x2)

A: Our Aim is to calculate the derivative of y=sin-1cos x2-(i)

Q: Find the derivative of the trigonometric function. y = cos 4x

A:

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

A:

Q: Find the derivative.

A: Given     y=sin-1xcos-1xdydx=cos-1x ddx sin-1x-sin-1x ddx cos-1x ( cos-1x  )2       =cos-1x 11-x2…

Q: What is the derivative of sin? x f(x) = with respect to x? COs x

A:

Q: Find the derivative of ,In sin-1) y = e %3D

A:

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

A:

Q: Find the second derivative, for y = tan () dy2

A:

Q: what is the derivative of y= xcos(x)sin(x)?

A: Given,

Q: Find the derivative of the function. y = sin(tan 3x) y' = II

A:

Q: Find the derivative of f(θ)=(sinθ/1+cosθ)^2

A: differentiate wrt theta

Q: What is the derivative of 0.50 sin 2t+0.30 cos t

A:

Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

A:

Q: Find the derivative of the function r? In 4y y sin4

A:

Q: Find the derivative of y with respect to x. -1 y = tan (In(2x))

A:

Q: What is the derivative of: y = ln ln(1 − cos x)

A:

Q: Find the derivative. ( cos ft dt x10 COS^/

A:

Q: Find the derivative of y with respect to x. y = In (tan -1 (9x5))

A: Given : y=lntan-19x5

Q: use implicit differentiation to find dy/dx for cosx²=xey

A: Given functioncosx2=xey

Q: Find the second derivative y “ of " of y = 5z +sin zcosz

A:

Q: Use implicit differentiation to find dy/dx in e2x = sin (x + 3y)

A:

Q: Find the derivative with respect to 0: y = In(sece + tan 0)

A:

Q: Find the second derivative, y" for the function cos(y) + sin(x) =1 by implicit differentiation. %3D

A:

Q: 9 y = Arctan(+x, 1- 2x

A:

Q: Find the derivative of the function x3 y = / 9vi sin(?) dt. %3D

A:

Q: what is the derivative to y=sin 2t - 2 cos 2t

A: The given function is y = sin2t – 2cos2t.Find the derivative of the function as follows.

Q: 14. y = In cos 4x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: What is the derivative of the: y = (1 + cos2 x sin x2)3/2

A: Given: y=1+cos2x sinx232 differentiate with respect to x, dydx=ddx1+cos2x sinx232dydx=321+cos2x…

Q: What is the derivative of y tan-1 cos 4x ?

A: By see this solution below

Q: Find the derivative of the function y = tanh−1(sin 2x)

A:

Q: Find the derivative of y with respect to x.   y= tan-1 *square root (16x2-1) +csc-1*4x ,   x greater…

A:

Q: The derivative of: y =0(sin (In (0)))+cos(In (0 )) is:

A: Given :y=θ(sin(ln θ))+ cos ln θ dydθ=θcos ln θθ+sin ln θ-sin  lnθ θ      =cos ln θ+sin ln θ-sin  lnθ…

Q: Find the derivative of the function. y = cos sin(tan(9x))

A: The function is given by y = cossintan9x

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x

Q: Find the derivative of y = [A 0 tan Od0. sin x

A: Then substitute it in dy/dx and use chain rule Write the integral as two parts: