# Use logarithmic differentiation to find the derivative of the function. y = x9 sin(x)?

Use logarithmic differentiation to find the derivative of the function.

y = x9 sin(x)

Update:

y=x^(9sin(x))

### 2 Answers

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- PopeLv 71 month ago
Do you mean this?

y = x⁹sin(x)

ln|y| = ln|x⁹sin(x)|

ln|y| = 9ln|x| + ln|sin(x)|

(1/y)y' = 9/x + cot(x)

y' = y[9/x + cot(x)]

y' = x⁹sin(x)[9/x + cot(x)]

y' = 9x⁸sin(x) + x⁹cos(x)

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- ted sLv 71 month ago
don't know why you would use it but .......y ' / y = 9 / x + cos x / sin x====>

y ' = 9 x^8 sin x + x^9 cos x

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