Solved: In Exercises 7176, assume that is differentiable for all The signs of are as

Chapter 3, Problem 76

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In Exercises 71-76, assume that f is differentiable for all x. The signs of \(f^{\prime}\) are as follows.

\(f^{\prime}(x)>0\) on \((-\infty,-4)\)

\(f^{\prime}(x)<0\) on (-4, 6)

\(f^{\prime}(x)>0 \) on \(\)

Supply the appropriate inequality sign for the indicated value of c.

Function                                                             Sign of \(g^\prime(c)\)

g(x) = f(x - 10)                                                    \(g^\prime(8)\)     0

Text Transcription:

f’

f’(x)>0

(-infty,-4)

f’(x)>0

(6, infty)

g’(c)

g’(8)