Let f(x) = tan x.(a) Show that there is no point c in the interval (0, )such that f(c) =

Chapter 4, Problem 15

(choose chapter or problem)

Let $f(x)=\tan x$.

(a) Show that there is no point c in the interval $(0, \pi)$ such that $f^{\prime}(c)=0$, even though

$f(0)=f(\pi)=0$

(b) Explain why the result in part (a) does not contradict Rolle's Theorem.

Equation Transcription:

$f(x)=tan\ x$

$(0,\pi{})$

${f}^{'}(c)=0$

$f(0)=f(\pi{})=0$

Text Transcription:

f(x)=tan x

(0, pi)

f'(c)=0

f(0)=f(pi)=0

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