What is the derivative of $sin(x)^(1/2)$ ?

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Answer 1 · 2016-08-11T17:59:08

$d/(d x) f(x)=(cos(x))/(2*sqrt sin(x))$

$f(x)=sin(x)^(1/2)$

$d/(d x) f(x)= 1/2*sin(x)^((1/2-1))*cos (x)$

$d/(d x) f(x)=1/2*sin(x)^(-1/2)*cos (x)$

$d/(d x) f(x)=(cos(x))/(2*sqrt sin(x))$

What is the derivative of sin(x)^(1/2) sin(x)^(1/2) ?