Question

Differentiate the following w.r.t. x:

\(x^{e^x} + (log\,x)^{sin\,x}\)

x^{e^x} + (log x)^{sin x}

Answer 1

Differentiating both sides w.r.t. x, we get

Differentiating both sides w.r.t. x, we get

From (1), (2) and (3), we get