whereas Problems 2 and 3 are about determining this information algebraically. A hint for Problem 1: remember that there are two "flavors" of critical points. . The graph of the derivative f'of a continuous function f is shown. Use the graph to determine the following. For each, give a very short description (i.e. a few words) indicating how you found them. a. critical points of f. ( notice f, not f ') y y = f(x), b. intervals where f is decreasing. 2 C. values of x where f has a local maximum. 6. d. values of x where f has a local minimum. -2 e. intervals where f concave down. f. values of x where f has an inflection point g. Assuming that f(0) = 0, sketch a graph of f using the axes given. (Recall that f is continuous.) +2 -1 5. 6. 10

Q: nd the values of a and b so that fis continuous and has a derivative at x = 1. = = ketch the graph…

A: We will find the required.

Q: Please Answer Parts A,B,C,D,E for one question.

A: Using Rolls theorem and Lagrange MVT. Rough sketch of h'(x)

Q: . True or False For a function y = f(x), for each x inthe domain, there is exactly one element y in…

A: We know that for a function y = f(x), for each x in the domain, there is exactly one element y in…

Q: If f(z), g(z) are differentiable functions and g'(r) > f(x) for all z , then one of the following is…

A: We have to solve by given data

Q: x1 x2 x3 x4 x5 x6 (Note that this is a graph of f', not a graph of f.) At which of the marked values…

A: Solution

Q: 12. Which of the following is true about the graph of the function, y= (x-2)³(x-1)*(x+4)? A. The…

A: Given function is  y=x−23x−14x+4

Q: use the graph of y = f(x) to find the following. a bc def · Find intervals over which the graph is…

A: Find intervals over which the graph is concave up.

Q: Can anything be said about the graph of a function y = ƒ(x) that has a continuous second derivative…

A: given

Q: Given the following graph of the function f(x), sketch a graph of the derivative. -8 7 -6- 5 4 3 2 4…

A:

Q: The following function gives the average cost (in dollars) per advertisement when paying for X…

A: Multiple sub-parts question-"As per our guidelines we are suppose to answer only first 3…

Q: 2 2 3. f(x, y) = y - x

A:

Q: find f(0), f'(0), g(1), g'(1), and (g o f)'(0)

A: The graphs of functions f and g are given belwo:

Q: For the function f(x) = x²+1 x-1 find each of the following: 1. Domain, intercepts, and asymptotes,…

A:

Q: 9. Graph each of the following functions, using the steps given at the end of this assign- ment…

A:

Q: The functions f and g are continuous on a closed, bounded region R DR D₁³ R R Use properties of…

A: