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Popular >

derivative of (3/5 x^3)

Solution

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

Solution

\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}

Popular Examples

derivative of f(x)=sqrt(2x+1)derivative of

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sum from n=0 to infinity of 1/(nsqrt(n))

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

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

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

derivative of sin(x-3)

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

Frequently Asked Questions (FAQ)

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)