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Popular >

derivative of (4/5 x^5)

Solution

\frac{d}{d x} ((\frac{4}{5} x)^{5})

Solution

\frac{1024 x ^{4}}{625}

Solution steps

\frac{d}{d x} ((\frac{4}{5} x)^{5})

Apply the chain rule:

5 (\frac{4}{5} x)^{4} \frac{d}{d x} (\frac{4}{5} x)

= 5 (\frac{4}{5} x)^{4} \frac{d}{d x} (\frac{4}{5} x)

\frac{d}{d x} (\frac{4}{5} x) = \frac{4}{5}

= 5 (\frac{4}{5} x)^{4} \frac{4}{5}

Simplify

5 (\frac{4}{5} x)^{4} \frac{4}{5} : \frac{1024 x ^{4}}{625}

= \frac{1024 x ^{4}}{625}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (4/5 x^5) ?
The derivative of (4/5 x^5) is (1024x^4)/(625)
What is the first derivative of (4/5 x^5) ?
The first derivative of (4/5 x^5) is (1024x^4)/(625)