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

1 Answer

Aug 11, 2016

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

Explanation:

#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))#

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