20.) Find the linearization, L(x) ,of f(x)=x*+3x² values of f(x) when x=-1 , x=-1.1, x=-1.5 , and x=-2 at a=-1 . Compare values of L(x) to 6.

Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

Q: 23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following…

A: Given:

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

A:

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

A:

Q: 7. Differentiate f(x) = (3x + x)² in three ways. When you have completed all three parts, show that…

A: Given that, fx=3x+x2

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Differentiate the following function. f(x) = e - 2x2 - 4x d (e -2x2 - 4x) - 2² - *x) = [ dx

A: Given f(x)=e(-2x^2-4x)

Q: d'y Let y = f(x) be a twice-differentiable function such that f(1) = 3 and d = 4√3+72². What is the…

A: Let be a twice differentiable function such that .To find the value of .

Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

A:

Q: Describe the end behavior of each function. 7) f(x)= x -2x'+x-1 8) f(x)=-x² + 8x - 17

A:

Q: #4. Determine the following attributes of f(x)= log,(3x+1)+2. a) `Find the x-intercept(s) of fx).…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

A:

Q: Find the derivative of the function. (3x +5) f(x) = In (7x + 5)*(2x+ 8) 14 2 O a. 3x +5 + 7x +5 2x…

A: We have to check

Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

A:

Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Determine (f/g)(x)

A: See the attached file

Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: Find f(x) if f (x) = x/x given f(1) = 2. %3D

A:

Q: The amount, A, of anesthetics that a certain hospital uses each week is a function of the number, S,…

A: It is given that;  The amount, A, of anesthetics that a certain hospital uses each week is a…

Q: Describe the process of linearization of a function f(x) at a point x = a, and explain how it can be…

A:

Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: Let f(x)=(x-3)/(x2-1).  What can you say about the long-term behavior of f?

A: