3. Find the derivative of f (x) = 2x²e² tan x.

Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: 4. Find the derivative of the function f(x) = (sin x)c0s ". COS x

A:

Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

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. y = tan an-¹ (√x-4)

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

Q: Find the derivative. g(x) = tanh-1(x?)

A:

Q: B. By using the definition of the derivative, find the for: - dx f(x) = x -

A: Explanation of the answer is as follows

Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

A:

Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: Find the derivative of f(x)=e^(tanx)

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(tan(3x))

A: Given : y = sintan3x

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

A:

Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

Q: 1 Find the first derivative given that f(x) = xdx +

A:

Q: Find the derivative of f(x) = ln∣cos x∣.

A:

Q: Find the derivative of the function 3 tan (x- 2 1 x y

A: Given:

Q: 4. Consider the function f(x) = 2 cos x x2 find its derivative

A: (4) Consider the given function. fx=2cosxx2 The quotient rule is defined as. fxgx'=f'g-g'fg2

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

A: Given,  y=x2-12cos x

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

A:

Q: 2) Find the derivative of the function f(x) = (x³ – tan(4x² – 2)* |

A: Given :            To find the derivative of the given function                f(x) = x3 -…

Q: 8. Find the derivative of the function. y= In(1+x)

A:

Q: 2. Find the derivative of g(x) = 2x sin x.

A:

Q: y = In(tanh 2x)

A:

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

A:

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: 1 14) Use the definition of derivative to find dx 3- х.

A:

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

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= x sin 3/x

A:

Q: 1, Find the first and the second derivative of f(x): f(x)=x

A:

Q: Find the derivative of the function. 10 f(x) = + 6cos x Vx

A: Differentiate above equation with respect to x

Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec-1

A: Let, z=(2x+3)/5   We differentiate using the chain rule

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

A:

Q: Find the derivative of y = x 1 cOS x 2

A:

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

A: Formula:

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

A:

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

A:

Q: 4) Find the derivative of y = arctan(x² + 3)

A:

Q: 1. Find the first order derivative of u = x*.

A:

Q: find the derivative of f(x)=(x^4+3x^2+8)cos

A:

Q: Find the derivative of y with respect to x. y=ln(tan-1(4x5))

A:

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

A:

Q: Find the derivative of  f(x) = tan(cos(x^2))

A: f'(x) = d (tan(cos x2)dx  f'(x) = sec2(cos(x2))d cos x2dx               because   d (tan(x))dx =…

Q: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

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. h(x) = x² arctan(8x)

A: