Practicing Success
Practicing Success
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The maximum value of $(\sin x)^{(\sin x)}$ is: |
7/3 7 π/2 1 |
1 |
$f(x)=(\sin x)^{\sin x}⇒f'(x)=(\sin x)^{\sin x}[\cos x+\cos x.\log(\sin x)]=0$ $⇒\cos x(1+\log(\sin x))=0$ $⇒x=π/2$ $f''(π/2)<0$ Maximum value = $f(π/2)=(1)^1=1$ |
