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

1 Answer

Sep 3, 2015

#f'(x)=(1)/(2sqrt(x)(1+x)#

Explanation:

#f(x)=arctan(x^(1/2))#

Using the chain rule:

#f'(x)=(1)/(1+x)xx1/2x^(-1/2)#

#f'(x)=(x^(-1/2))/(2(1+x))#

#f'(x)=(1)/(2sqrt(x)(1+x)#

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