If $f : [- 5, 5] \to R$ is a differentiable function and if $f^{p r i m e} (x)$ does not vanish anywhere, then prove that $f (- 5) \neq = f (5)$ .

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f : [- 5, 5] \to R

is a differentiable function and if

f^{p r i m e} (x)

does not vanish anywhere, then prove that

f (- 5) \neq = f (5)

11 mins ago

Discuss this question LIVE

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Question Text

f : [- 5, 5] \to R

is a differentiable function and if

f^{p r i m e} (x)

does not vanish anywhere, then prove that

f (- 5) \neq = f (5)

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