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Popular >

derivative of y=sqrt(13-x^9)

Solution

derivative of

y = 13 - x^{9}

Solution

- \frac{9 x ^{8}}{2 13 - x ^{9}}

Solution steps

\frac{d}{d x} (13 - x^{9})

Apply the chain rule:

\frac{1}{2 13 - x ^{9}} \frac{d}{d x} (13 - x^{9})

= \frac{1}{2 13 - x ^{9}} \frac{d}{d x} (13 - x^{9})

\frac{d}{d x} (13 - x^{9}) = - 9 x^{8}

= \frac{1}{2 13 - x ^{9}} (- 9 x^{8})

Simplify

\frac{1}{2 13 - x ^{9}} (- 9 x^{8}) : - \frac{9 x ^{8}}{2 13 - x ^{9}}

= - \frac{9 x ^{8}}{2 13 - x ^{9}}

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Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(13-x^9) ?
The derivative of y=sqrt(13-x^9) is -(9x^8)/(2sqrt(13-x^9))
What is the first derivative of y=sqrt(13-x^9) ?
The first derivative of y=sqrt(13-x^9) is -(9x^8)/(2sqrt(13-x^9))