## anonymous 4 years ago Use logarithmic differentiation to find the derivative of the function y = x^(sin x)

1. Callisto

2. anonymous

$\ln (y) = \sin x *\ln(x)$ differentiate $\frac{y'}{y} = \frac{\sin x}{x}+\cos x \ln(x)$ $y' = y \frac{\sin x}{x}+y \cos x \ln(x)$

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