y = e2* tan 2x

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 4th-order derivative of the function y=xsinhx.

A:

Q: Find the derivative of the function. y = (tan-(3x))2 y' =

A: Solution: The objective is to find the derivative of the given function

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

A:

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

A:

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the derivatives of x=sin h2y

A:

Q: Find the derivative of the function.

A: To Find the derivative of the function. y = ln sec x + tan x

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

A: We use the product rule to find the derivative

Q: Find the derivative. y = cos-1(x2)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

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

A:

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

A: Given : y = sintan3x

Q: Find the derivative of the function.

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(9 – e-ª).

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: 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 with respect to t. y= csc-1(et)

A: Given:

Q: Find the second derivative of y=(tan(2πx))^3.

A: giveny=(tan2πx)3 diffrentiate by chain ruley'=3(tan2πx)3-1sec22πx.(2π)y'=6π(tan2πx)2sec22πx

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

A: Given: y=sin-1cos-1t To determine: The derivative of the given function.

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 derivative of the function. y = 2 tan 5x

A: To find the derivative of: y=2tan5x Solution: y=2tan5x Differentiating both sides w.r.t x we get:…

Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

A:

Q: Find the derivative of y = (tan-1 x)1/2

A: We have to find derivative

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

A:

Q: Find the derivative of the function:  y= x sin 3/x

A:

Q: Find the derivative of the following Function () y sin(x²) = x sin(y?)

A:

Q: Find the derivative of the function. y = (tan-(4x))2 y' =

A:

Q: Find the derivative of the function. y = ln(x√x2 − 1 )

A:

Q: Find the derivative of h(x) = (1+ cos x)*

A:

Q: Find the derivative of the function y= sin(x cosx)

A:

Q: y = cos /sin ( tan tx

A:

Q: Find the derivative of the function. y =sin(tan 2x )

A:

Q: Find the derivative of the function. y = sin (x + 2)

A:

Q: 2x Find the second order derivative of y = Tan 1-x

A:

Q: Find the derivative of y with respect to x. 58)y tan (In 2x)

A: Firstly, we use the result that  derivative of inverse of tan of x is 1/1+x^2

Q: Find the derivative of the function. y [x + (x + sin²(x))-1*

A:

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

Q: Find the derivative of the function. h(x) = x² arctan(8x)

A:

Q: Find the derivative of y with respect to x. y= In (tan (4x*))

A:

Q: Find the derivative of the function. y = x sin 1/x

A: Given: y=xsin1x We know that ddxu.v=vdudx+udvdx                                                  ..1

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

A: Topic = Derivative

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

A:

Q: Obtain the derivative of the function y cos (9y ) + tan (4x) csc (2x) y =

A:

Q: Find the derivative of the function. y = tan VX- X- 3 y' =

A: Given function is: y=tan-1x-3

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: