Using the Mean Value Theorem In
Exercises 43-56, determine whether the Mean Value Theorem can be applied to f on the closed interval
If the Mean Value Theorem cannot be applied, explain why not.
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Calculus: Early Transcendental Functions
- Example: Give an example of a function and a value a so that f'"(a) = 0 and (a, f (a)) is not an inflection point of f.arrow_forwardFind F as a function of x and evaluate it at x = 2, x = 4, and x = 6. F) - [- Part 1 of 8arrow_forwardWhat are the five key points of the cosine function? ○ (0, 0), (90, 1), (180, 0), (270, −1), (360, 0) (0, 1), (90, 0), (180, −1), (270, 0), (360, 1) (0, 0), (90, −1), (180, 0), (270, 1), (360, 0) ○ (0, -1), (90, 0), (180, 1), (270, 0), (360, − 1)arrow_forward
- Consider the function f and its derivatives below. f'(x) = -2(2³-32) (³+64)² 6x²(³-128) (3+64)3 f"(x) = f(x) = 3 +64 Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if appropriate. Your answers must be exact or accurate to two decimal places. 2 1.26 38=2 4 1.59 16 2.51 √32 3.17 equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: z-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 01 x-coordinate(s) of each inflection point of f: √64=4 128 5.04 Sin den Jaarrow_forwardWhich . functions are continuous through its domain?arrow_forwardf(xh) fx) - , h 0, for the given function f Find the difference quotient h f(x) _arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage