Let f be a differentiable function. We are given the following values of ƒ and x |ƒ(x)|ƒ'(x) 4 16 36 Consider the functions g, h, k defined by Find the following values: a) g'(4) = b) h' (4) = c) k'(4) = g(x) h(x) = k(x) = 36 2 3 7 -3 4 f(x²) fof(x) 3(f(x))³ — 1(f(x))²

Q: Please upload a picture/PDF of your WORK and ANSWERS to following question: (-6, 2) (3, 2) Graph of…

A: c) The point of inflection is the value of x at which the derivative of the changes its concavity.

Q: 2. a. f(x) = (x+2)/(x +4). Use the Mean Value Theorem on the interval [0, 4] to find all values of x…

A:

Q: Identify a function f that has the given characteristics. f(-5) = f(4) = 0; f'(-0.5) = 0, f "(x) 0…

A:

Q: Let f be a differentiable function such that 2 < f'(x) < 4 for all values of x. Show that 10 < f(12)…

A:

Q: Let f be a function that is defined and differentiable on all of R. Here is some information about /…

A:

Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

A:

Q: Show that the given function is analytic in an appropriate domain. 2- y S(x) = Tr+2}* +3y² (x+2)*…

A: Please consider the handwritten solution.

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

A:

Q: Assume that the function f is a one-to-one function. (a) If f(5) = 2, find f-'(2). Your answer is…

A: Given that to he function f is one-to-one function.

Q: is even, odd function or neither

A:

Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

A:

Q: The table contains some input-output pairs for the functions f and g. æ| f(x) | g(x) 2 2 9 6 9 3 9.…

A: To evaluate the given expression with the given table values.

Q: 3) Let f'be the function given by (x-1)(x²-4). For what positive values of a is f continuous for all…

A: We have cheek the positive values of a is F continues for all real number

Q: 3. Let f(x) be a twice-differentiable function satisfying the following table of values. -2 -1 0 1 2…

A: Given

Q: 4.* (a) Let S = {1, 2, 3, 4}. Define F: SN by F(x) = x² for each x = S. What is the range of the…

A:

Q: Let two functions be f (x) = Ax + 3, g (x) = Bæ² Ba? %3D What are the possible values of A and B if…

A: We can find the possible values of A and B as below.

Q: Draw the level curves for the function f(x,y) = x2-y. Show five level curves within the limits…

A: We shall use MATLAB to solve the above problem.We are using computer code so that it will be very…

Q: 3. Suppose that f is differentiable on all of R and g(x) = f(x)². If the table below describes the…

A:

Q: # 19, 20, 23) Find the derivative of each of the following functions using the definition of…

A:

Q: 2. Let f(x) be a function with domain (00, -00) and f'(x) = 2x3+3x²-36r. Find the intervals where…

A: Step 1:Step 2: Step 3: Step 4: