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Popular >

derivative of (x-6)^{8/9}

Solution

derivative of

(x - 6)^{\frac{8}{9}}

Solution

\frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}}

Solution steps

\frac{d}{d x} ((x - 6)^{\frac{8}{9}})

Apply the chain rule:

\frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}} \frac{d}{d x} (x - 6)

= \frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}} \frac{d}{d x} (x - 6)

\frac{d}{d x} (x - 6) = 1

= \frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}} \cdot 1

Simplify

= \frac{8}{9 ( x - 6 ) ^{\frac{1}{9}}}

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\frac{\partial}{\partial y} (6 x e^{x^{2} + y^{2}})

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Frequently Asked Questions (FAQ)

What is the derivative of (x-6)^{8/9} ?
The derivative of (x-6)^{8/9} is 8/(9(x-6)^{1/9)}
What is the first derivative of (x-6)^{8/9} ?
The first derivative of (x-6)^{8/9} is 8/(9(x-6)^{1/9)}