What is the derivative of (2/5 x)^3 ?

The derivative of (2/5 x)^3 is (24x^2)/(125)

What is the first derivative of (2/5 x)^3 ?

The first derivative of (2/5 x)^3 is (24x^2)/(125)

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derivative of

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

\frac{24 x ^{2}}{125}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

3 (\frac{2}{5} x)^{2} \frac{2}{5} : \frac{24 x ^{2}}{125}

= \frac{24 x ^{2}}{125}

\frac{\partial}{\partial x} (- 2 x^{2} + 4 y^{2} + 3 z^{2} + 43)

\frac{\partial}{\partial y} (2 x + y e^{x})

\frac{d}{d x} (- 4 x^{3} + 10 x^{2} - x)

\frac{\partial}{\partial x} (\frac{2 x}{3 y})

\int arctan (x) x d x

What is the derivative of (2/5 x)^3 ?
The derivative of (2/5 x)^3 is (24x^2)/(125)
What is the first derivative of (2/5 x)^3 ?
The first derivative of (2/5 x)^3 is (24x^2)/(125)