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

The derivative of (3/5 x^3) is (81x^2)/(125)

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

The first derivative of (3/5 x^3) is (81x^2)/(125)

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

\frac{81 x ^{2}}{125}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

3 (\frac{3}{5} x)^{2} \frac{3}{5} : \frac{81 x ^{2}}{125}

= \frac{81 x ^{2}}{125}

f (x) = 2 x + 1

n = 0 \sum \infty \frac{1}{n n}

\int \frac{1}{1 + sin ( x ) - cos ( x )} d x

\int_{0}^{\frac{π}{2}} cos^{3} (x) d x

\frac{d}{d x} (sin (x - 3))

What is the derivative of (3/5 x^3) ?
The derivative of (3/5 x^3) is (81x^2)/(125)
What is the first derivative of (3/5 x^3) ?
The first derivative of (3/5 x^3) is (81x^2)/(125)