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calyne

  • 4 years ago

Use logarithmic differentiation to find the derivative of the function y = x^(sin x)

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  1. Callisto
    • 4 years ago
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  2. dumbcow
    • 4 years ago
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    \[\ln (y) = \sin x *\ln(x)\] 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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