Compute f xT+ x² dx 3

Q: is Y=2/X +1 a function?

A: We have given equation  Y = 2/X +1  An equation is a function if for every value of x there is a…

Q: Suppose that f(x) = (x - 4)*.

A: At the point of inflection, f''(x)=0.

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: Find three functions f,g,h that satisfy: f(g(h(x)) = 2

A:

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: g(x) = v2 – 3x %3D

A:

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Given the following function notations, find h(x) = f(x) + 2g(x). * f(x) = 7x – 5x + 2 and g(x) =…

A: Given the following functions                                      f(x)=7x3-5x+2  and  g(x)=3x2-1…

Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

A: The given function is f(x)=x24+x

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Differentiate the following function. 6x2 +5 y= x2 +1

A:

Q: 4a+ax/x)=f a=

A:

Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: Let f(x) = 1. x+ 8 |3D f-(- 8) %3D

A:

Q: Differentiate and simplify. f(x)=Je* +In (x² +4)

A: