g(t) = cosh-1 t3

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

A:

Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

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

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 derivative using the logarithmic y=ln (x+1)/x^2-2

A:

Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the derivative y=cos(2x-x^2)

A: Properties used:

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

A:

Q: Find the derivative, if y3 (log x)* + y = (log x)* +(sinx) -1

A:

Q: Find the derivative of the function. y = (tan-(7x))2

A:

Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

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 derivative of f(x) = ln∣cos x∣.

A:

Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

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

A:

Q: Find the first derivative of: x = t²e2t

A:

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

A:

Q: y = (cos(x²))*

A:

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

A: y=cos (x)

Q: Find the derivative of y = sin(-* e-X 2ex + 1

A:

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

A:

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: Find the derivative: h(x)= 3 tan*(e²*)

A: Question based on derivatives application.

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

A:

Q: Find the derivative: 1+ e2x = cos 1 - e6x f(x) f'(x) =

A:

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

A:

Q: Find the second derivative of the function f(x) = sin x2

A: Given f(x) = sin x2 To find d2f(x)dx2

Q: Find the derivative of the function. f(x) = ln(x2 + 3)

A:

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

A:

Q: y = (cos(x²))*

A: We can find the derivative of the given function by using the logarithmic differentiation. Also,…

Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

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

A: Given function

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

A:

Q: Find the derivative of h(x) = sin2x

A:

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

A:

Q: find the derivative. y = cos−1(x2)

A:

Q: Find the derivative of g(x) = e-" cos(x²)

A:

Q: Find the derivative of the function. f(x) = 2 tan (e11x) f'(x)=D

A: We have to use Chain rule of differentiation.

Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

A:

Q: Find the derivative of the function f(x)=(x²+e* + sin x)*.

A:

Q: Find the derivative of F(x) = t°e' ln tdt.

A:

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

A:

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

A: Find the derivative use product rule

Q: Find the derivative of the power function y=xn.

A: y= xn To find the derivative of y