For , determine whether is an antiderivative of by finding and comparing it with…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For

x>0

, determine whether

K(x)=\arctan(\sqrt{x})

is an antiderivative of

k(x)=\dfrac{1}{2\sqrt{x}\,(1+x)}

by finding

K'(x)

and comparing it with

k(x)

.

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