What is the derivative of (4/5 x^3) ?

The derivative of (4/5 x^3) is (192x^2)/(125)

What is the first derivative of (4/5 x^3) ?

The first derivative of (4/5 x^3) is (192x^2)/(125)

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\frac{d}{d x} ((\frac{4}{5} x)^{3})

\frac{192 x ^{2}}{125}

Solution steps

\frac{d}{d x} ((\frac{4}{5} x)^{3})

Apply the chain rule:

3 (\frac{4}{5} x)^{2} \frac{d}{d x} (\frac{4}{5} x)

= 3 (\frac{4}{5} x)^{2} \frac{d}{d x} (\frac{4}{5} x)

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

= 3 (\frac{4}{5} x)^{2} \frac{4}{5}

Simplify

3 (\frac{4}{5} x)^{2} \frac{4}{5} : \frac{192 x ^{2}}{125}

= \frac{192 x ^{2}}{125}

What is the derivative of (4/5 x^3) ?
The derivative of (4/5 x^3) is (192x^2)/(125)
What is the first derivative of (4/5 x^3) ?
The first derivative of (4/5 x^3) is (192x^2)/(125)