What is the derivative of (2/5 x)^9 ?

The derivative of (2/5 x)^9 is (4608x^8)/(1953125)

What is the first derivative of (2/5 x)^9 ?

The first derivative of (2/5 x)^9 is (4608x^8)/(1953125)

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derivative of

(\frac{2}{5} x)^{9}

\frac{4608 x ^{8}}{1953125}

Solution steps

\frac{d}{d x} ((\frac{2}{5} x)^{9})

Apply the chain rule:

9 (\frac{2}{5} x)^{8} \frac{d}{d x} (\frac{2}{5} x)

= 9 (\frac{2}{5} x)^{8} \frac{d}{d x} (\frac{2}{5} x)

\frac{d}{d x} (\frac{2}{5} x) = \frac{2}{5}

= 9 (\frac{2}{5} x)^{8} \frac{2}{5}

Simplify

9 (\frac{2}{5} x)^{8} \frac{2}{5} : \frac{4608 x ^{8}}{1953125}

= \frac{4608 x ^{8}}{1953125}

What is the derivative of (2/5 x)^9 ?
The derivative of (2/5 x)^9 is (4608x^8)/(1953125)
What is the first derivative of (2/5 x)^9 ?
The first derivative of (2/5 x)^9 is (4608x^8)/(1953125)