Consider the following table where g (x), h(x), and m(x) are

Q: Calculate M6 for f(x) = v2x over [2, 5].

A:

Q: In the function f(x) = a(x + 2)(x – 3)%, a and b are both integer constants and b is positive. If…

A:

Q: Find the critical points of the following function. f(x) = 5x2 + 3x - 1

A: Do the first derivative and then set it to zero gives us the desired value.

Q: Find the linearization L(x) of the function f(x) = x^3/4 at x=256.  L(x)=?

A:

Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.

A:

Q: Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) – In x) -

A:

Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

Q: Which is equal to (x) given that g(x) = 1- 3x and h(x) = V?

A:

Q: Find f′(x) and f′(c). Function f(x) = (2x2 − 3x)(9x + 4) Value of c = −1

A: f(x) = (2x2 − 3x)(9x + 4) c = −1   f'(x) = (2x2 − 3x).(9x + 4)' +  (2x2 − 3x)'. (9x + 4)        =…

Q: find the net change in g between x=0 and x=7

A: Here we have to find the net change.

Q: Find the value(s) of x for which f(x) = g(x). f(x) = x4 − 2x2, g(x) = 2x2

A: To find the value(s) of x for which f(x)=g(x). f(x)=x4-2x2,g(x)=2x2 Solution:…

Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

A:

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

A:

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

A:

Q: Find the critical points of the following function. f(x) = 5x? + 3x +2

A: Given,          The function is fx=5x2+3x+2.

Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

A:

Q: If f(x) =3 ln x and g(x) = e2 , find go f(x). %3D

A:

Q: Find the linearization L(x) of the function at a. f(x) = x3 − x2 + 9,    a = −2 L(x) = ?

A:

Q: Find the linearization L(x) of the function at a. f(x) = x4 + 6x2, a = −1

A:

Q: find the linearization of f(x)=x^2+4x-4 at x=2

A: Linearization formula, L(x)= f(a)+f'(a)(x-a)

Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: (a) f(x) = 2r3(3 – 4x)

A:

Q: Find the domain of f(x) = ln(5x + 2).

A: fx=ln5x+2

Q: Find the streamlines corresponding to: f(z) = z²

A:

Q: Find f'(x) for f(x) = e* - 5x.

A: Given : fx =e4x2-5x

Q: Find f'(a) for x2 f(x) = x + 6 at a = 3.

A: Given function :

Q: Find the family of antiderivatives of f(x) = 3e3x.

A: The given function is fx=3e3x. We have to find the family of antiderivatives of fx=3e3x. We know…

Q: (a) g(x) = x + 1 x-1 (using the definition)

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 10. Find y' with the implicit function below. 3(x² + y²)² = 100(x² – y²)

A:

Q: 7. Given f(x) = x² – 5x ,

A:

Q: if i have the function how would i use FTC(1) and the chain rule to find g'(x)

A:

Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: (So g)(x) is

A:

Q: Find fogo h. f(x) = x – 8, g(x) = /x, h(x) = x – 8 %3D

A: Given that: f(x)=x-8g(x)=xh(x)=x-8

Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find f′(x) and f′(c). Function f(x) = (x3 + 4x)(3x2 + 2x − 5) Value of c = 0

A: Given:fx=x3+4x 3x2+2x-5  To Find: f' (x) and f' (c)

Q: Find f ◦ g ◦ h where f(x) = |x − 4|, g(x) = 2x , and h(x) = √ x.

A: We have given f(x), g(x), h(x)  We have to find fogoh

Q: Compute f(c + h) – f(c) at the indicated point. f(x) = 7x²; c = 5

A:

Q: f(x) = x* – }x' – x + 2x –1 -

A: Given   f(x)= 14x4-23x3-12x2+2x-1has turning point at where the f'(x)=0differntiate f(x) with…

Q: Find the following characteristics about the linear function 2 f(x) = ²/x + 18 x-intercept:…

A:

Q: Find the linearization at x = a. 1 f(x) = = 5 +3

A:

Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: a) (fog)(x) c) (gof)(x)

A: A detailed solution is given below

Q: Find $ such that D =F. x - hg - hp-

A:

Q: Are functions f(x) = x² – 2, g(x) = x² + 2x – 1 and h(x) = 2x² + 6x + 1 linearly dependent? If yes,…

A: Let f(x), g(x) and h(x) are linearly dependent.  So, we can write: Then we compare both sides

Q: Consider the following. x = t- 5 t y = t-5 t - 5

A:

Q: Find f(0) iff (x) et?

A:

Q: Find the antiderrivative of the given function: x2e2xdx

A: