In the following cases, check that x c is a critical point and use Exercise 75 to determine whether (c) is a local minimum or a local maximum Data From Exercise 75 The Second Derivative Test for critical points fails if (c) 0 This exercise develops a Higher Derivative Test based on the sign of the ...

a Let fx x 6x 14x 16x 9x 12 Then fx 5x 24x42x 32x 9 so f1 524 42 32 9 0 and c 1 is a cr ...

In the following cases, check that x = c is a critical point and use Exercise 75

Question:

In the following cases, check that x = c is a critical point and use Exercise 75 to determine whether ƒ(c) is a local minimum or a local maximum.

(a) f(x) = x - 6x + 14x - 16x + 9x + 12 (c = 1) (b) f(x)= x - x (c=0)

Data From Exercise 75

The Second Derivative Test for critical points fails if ƒ"(c) = 0. This exercise develops a Higher Derivative Test based on the sign of the first nonzero derivative. Suppose that

f'(c) = f'(c)= = f(n-) (c) = 0, but f(c) # 0

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 01, 2023 07:35 AM

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In the following cases, check that x = c is a critical point and use Exercise 75

Question:

(a) f(x) = x² - 6x² + 14x³ - 16x² + 9x + 12 (c = 1) (b) f(x)= x - x³ (c=0)

Step by Step Answer:

a Let fx x 6x 14x 16x 9x 12 Then fx 5x 24x42x 32x 9 so f1 524 42 32 9 0 and c 1 is a cr...View the full answer

Calculus

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