If f is the functions whose graph is shown, let h(x) = f(f(x)) and g(x) = f(x2). Use the graph of f to estimate the value of each derivative. b. g' (2)2.1 a. h' (2) y= f(x) 0 1 х

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 second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

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

A:

Q: Find the derivative of the function. f(x) = ln(5+e^x/5-e^x)

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

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 of the function f(x) = x√ln x

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

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

A:

Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: Find the derivative of the function. y = e-2x sin x

A: The derivative of the product of two functions f(x) and g(x) can be determined using the product…

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 x)4

A:

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

A:

Q: Find the derivative of the function.

A: Given y=lnx+1x-1

Q: Find the derivative of the function g(x) et 2 – 2x gʻ(x) =

A: We have to find derivative

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

A:

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

A: Given,  y=x2-12cos x

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: Find the derivative of the function y = In(8 – e-a f'(x) =

A: We have to find derivative

Q: Find the derivative of the following function. y= 4 ln x – In(x-8)

A: we have to derivative

Q: Compute the derivatives of the given functions. f(x) = 5 ln x   f'(x)= ? g(x)= ln (x^5). g'(x)= ?

A:

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

A:

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

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

A: Given function is

Q: 7. Find the nth derivative of y = 1//x.

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

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 the function. f(x) = ln(x − 1)

A:

Q: f(x) = e*

A:

Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

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

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 the function - 3x f(x) = 3 ln(x) + e - df dx

A:

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

A:

Q: The derivative of the function y = e¯- is

A: Finding the derivative of the following function:

Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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 y with respect to x    y=ln(x-7)

A:

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

A:

Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: Suppose y is a function of x. Find the derivative (dy/dx) of the function.

A: We have to find the derivative of the given function   The given function is   x2y2=x2-y23

Q: -5

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 function y = ln 5x/(1 − x)

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 3-x

A: