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If $f(x)=\mid \cos x\mid$,then $f'(\frac{\pi}{4})$=____________.

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Toolbox:
  • The derivative of a function $f(x)$ is $f'(x)$.
  • $f(x)=\cos x\Rightarrow f'(x)=-\sin x$
  • $f(x)=\sin x\Rightarrow f'(x)=\cos x$
  • $\sin\big(\large\frac{\pi}{4}\big)=\large\frac{1}{\sqrt 2}$
$f(x)=\mid \cos x\mid$
$f'(x)=\mid -\sin x\mid$
$\sin\big(\large\frac{\pi}{4}\big)=\large\frac{1}{\sqrt 2}$
$f'\big(\large\frac{\pi}{4}\big)=-\large\frac{1}{\sqrt 2}$
answered Jul 4, 2013 by sreemathi.v
 
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