Differentiate `e^(tan^(-1)sqrt(x))` with respect to `x` .

Explanation

let `y=e^{tan ^{-1} sqrt{x}}`



differentiate both sides with respect to `x`



`frac{d}{d x}(y)=frac{d}{d x}(e^{tan ^{-1} sqrt{x}}) `



`frac{d y}{d x}=e^{tan ^{-1} sqrt{x}} cdot frac{d}{d x}(tan ^{-1} sqrt{x})`



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