f(x) = x+3

Q: find all critical points of the function f (x) = x3 − 9/2^ x2 − 54x + 2

A:

Q: f(x + 1) ,find f(x – 2) f (x) = 27x

A: Given that, fx=3x27x Evaluate: fx+1fx-2

Q: Find f ' (x). f(x)= (x5+2x)(2x3+4x-5)

A: Product Rule: If f(x) and g(x) are two differentiable functions, then Consider the function f(x) =…

Q: Find df/ dx of  f(x)=(x2-1)(x3+3x2/x2+2)

A:

Q: 3. Find f'(x) for f(x) = v5 + e2x xe2x-1 А. V5+e2x 1 2v2e2x С. 5+ e2x e2x D. V5+e2x V5+e2x B.

A: In this question, concept of chain differentiation is used in this question.

Q: Find the critical numbers of the function. f(x) = x3 + 3x2 − 45x

A:

Q: Find the linear approximation to f(x)=x2+1x−2 near a=3.

A: Given: f(x) = x2 +1x − 2; a = 3

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

A:

Q: Find the linearization of the function at a . f(x) = x 4 + 3 x2    , a = -1

A: We know that ,The linearization of the function at v=ais given by fa+f'ax-a

Q: If f(x) = (x² +2) e², what is f'(x)?

A:

Q: 1. f(x) = 2x+5x-3x+4 B(x) = x-2x-1 f(x) +s(x) =

A: 1. f(x) + g(x) = x5 + 2x3 + 3x2 -3x +3   2.  f(x) - g(x) = -x5 +2x3 + 7x2 - 3x +5

Q: A function f(x) = v1 – x² is

A:

Q: Z-X 1 f(x) = X +9 f'(x) = ロ

A:

Q: f(x) = 32x − 8x2 find the critical numbers of the function.

A:

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

A:

Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

A:

Q: + iv is analyt: and satisfies the a real constant

A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

Q: the integration of : f(x) = - 2x+4/(x^2+1)(x^2-4).

A:

Q: f(x) = x² = x- and g(x)=x+2

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

Q: Graph each function.

A: The zeros of a function are the point where the function value is equal to 0. These points are also…

Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: Find the domain of f

A: We have to find the domain of the function: fx=x+2+2-x We know for any square root function y=fx it…

Q: Find the critical points of the function f(x)=8x3−x4.

A:

Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: (a) f(x) = 2r3(3 – 4x)

A:

Q: Find the linearization of the function at x = 1.* f (x) 2x - 3x + 7 %3D

A: From the given problem:   fx=2x3-3x+7 ; x=1   As we know that the expression for linear…

Q: f(x) = e^(-x2+x) yp = e^(-x2)

A: Y = CF +PI

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

A:

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: 2. Let f(x) = 16x 4x and g(x) = 18x + 3. Solve for x when f(x) = g(x)

A: We will solve for x when f(x)=g(x)  in the following step.

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: (c) Find f-1. f-1(x) = X , x20

A: We plug f(x)=y then switch x and y. f(x)=x+4y=x+4x=y+4

Q: Sketch the graph of f.

A: Given,           fx=x3-2x2-4x+8x-2

Q: Find f'(x) for f (x) = v5+ e2x

A: Given,          fx=5+e2x

Q: Find the critical numbers of the function f (x) = 2x3 + x? + 2x

A: Given:            f(x)=2x3+x2+2x

Q: f(x) = Vxe-x/2 is inc decreacing

A:

Q: f(x) = (x² – 2x + 2)e*

A:

Q: 3x f"(x) = -- (x2 + 1)2

A: Consider the given second derivative.

Q: Find (f-1)'(a). f(x) = V 3x3 + 3x2 + 2x + 1, a = 3 (f-1)'(a) =

A: inverse function derivative

Q: z² – 4x + 4 Differentiate f(x)

A:

Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

Q: The fixed-points of f(x) = (x² + 2) a and

A:

Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75

Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

A:

Q: f(x) = x – 4; g(x) = 5(x) - Ay

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.