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

The derivative of g(x)= 5/(x^3) is -(15)/(x^4)

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

The first derivative of g(x)= 5/(x^3) is -(15)/(x^4)

Popular >

derivative of

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

- \frac{15}{x ^{4}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

5 (- 3 x^{- 3 - 1}) : - \frac{15}{x ^{4}}

= - \frac{15}{x ^{4}}

\frac{d}{d x} ((2 x + 1)^{5} (3 x - 2)^{7})

\frac{d}{d x} (e^{- 3 x} sin (π x - \frac{π}{8}))

\int \frac{x + 3}{x ^{2} - 4} d x

n = 1 \sum \infty 1 4^{n} x^{n} n!

\int_{0}^{t} \frac{1}{x} d x

What is the derivative of g(x)= 5/(x^3) ?
The derivative of g(x)= 5/(x^3) is -(15)/(x^4)
What is the first derivative of g(x)= 5/(x^3) ?
The first derivative of g(x)= 5/(x^3) is -(15)/(x^4)