Q2.1 If f'(c) = 0, then f has either a local maximum or a local minimum at x = c. True False Q2.2 If f and g are increasing on an interval I, then fg is also increasing on the interval I. O True O False Q2.3 If f" (c) = 0 and f(c) exists, then f has an inflection point at (c, f(c)). True False

Q: Based on the graph of g"(x) pictured above, how many points of inflection exist for the twice…

A: As we know The inflection point exists when  and conavity changes  of function

Q: b. For what values of x does f(x) have a relative maximum? Explain. C. Determine the open intervals…

A: Given graph

Q: constant k is the functionf defined by if x +0 f(x) = V5- x - V5+x k if x = 0 continuous at x = 0?…

A: On putting limit x tends to 0 when condition of not equality it becomes 0/0 form . So by…

Q: 2. For each of the following statements, determine if they are true or false. In either situation,…

A:

Q: 1. Find the absolute maximum and/or minimum values of the given functions in the given intervals (in…

A: Solving we ll get the critical points, which are the candidates for points of maximum or points of…

Q: 5. Find the absolute maximum value on the interval [0,16] for f(x) = (x² – 16x)5 and state its…

A: Concept: If a function f(x) define on interval [a, b] then it's absolute maximum occure either at…

Q: Choose the correct answer below. O A. O B. Oc. OD. Ay 10– 10 -10 10

A:

Q: The graph of the derivative f' of a function f is shown. X 2 4 8 10 y 14 16 18 (a) On what interval…

A: Redraw the given graph as shown below,

Q: 10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then I. f decreases on (-6,2) and increases on…

A: Given: To Find: To find the true statements.

Q: 5. Find the maximum and minimum values of the function f(x) = x e-2a on the interval [0, 1].

A:

Q: 9. Consider the function: f(x)=√x² + 64 Step 1 of 2: Find the second derivative of the given…

A: