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Popular >

derivative of ((8x)^9)/9

Solution

derivative of

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

Solution

134217728 x^{8}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d x} (8 x) = 8

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

Simplify

\frac{1}{9} \cdot 9 (8 x)^{8} \cdot 8 : 134217728 x^{8}

= 134217728 x^{8}

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Frequently Asked Questions (FAQ)

What is the derivative of ((8x)^9)/9 ?
The derivative of ((8x)^9)/9 is 134217728x^8
What is the first derivative of ((8x)^9)/9 ?
The first derivative of ((8x)^9)/9 is 134217728x^8