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Popular >

derivative of f(x)=(3/5 x)^9

Solution

derivative of

f (x) = (\frac{3}{5} x)^{9}

Solution

\frac{177147 x ^{8}}{1953125}

Solution steps

\frac{d}{d x} ((\frac{3}{5} x)^{9})

Apply the chain rule:

9 (\frac{3}{5} x)^{8} \frac{d}{d x} (\frac{3}{5} x)

= 9 (\frac{3}{5} x)^{8} \frac{d}{d x} (\frac{3}{5} x)

\frac{d}{d x} (\frac{3}{5} x) = \frac{3}{5}

= 9 (\frac{3}{5} x)^{8} \frac{3}{5}

Simplify

9 (\frac{3}{5} x)^{8} \frac{3}{5} : \frac{177147 x ^{8}}{1953125}

= \frac{177147 x ^{8}}{1953125}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(3/5 x)^9 ?
The derivative of f(x)=(3/5 x)^9 is (177147x^8)/(1953125)
What is the first derivative of f(x)=(3/5 x)^9 ?
The first derivative of f(x)=(3/5 x)^9 is (177147x^8)/(1953125)