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

The derivative of 3/(5x^3) is -9/(5x^4)

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

The first derivative of 3/(5x^3) is -9/(5x^4)

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derivative of

\frac{3}{5 x ^{3}}

- \frac{9}{5 x ^{4}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{3}{5} \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{3}{5} (- 3 x^{- 3 - 1})

Simplify

\frac{3}{5} (- 3 x^{- 3 - 1}) : - \frac{9}{5 x ^{4}}

= - \frac{9}{5 x ^{4}}

\int x^{2} 4 + x^{2} d x

f (x) = 2 x^{2} - 5 x + 4, at x = 0

n = 1 \sum \infty \frac{3 n}{4 n + 5}

\int \frac{1}{- sec ^{2} ( x )} d x

(4 x^{3} + 4 x y - 1) d x = (1 - 2 x^{2} - 2 y) d y

What is the derivative of 3/(5x^3) ?
The derivative of 3/(5x^3) is -9/(5x^4)
What is the first derivative of 3/(5x^3) ?
The first derivative of 3/(5x^3) is -9/(5x^4)