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

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

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

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

Popular >

derivative of

f (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}}

\int_{0}^{1} 4 x^{2} + 9 x^{4} d x

\frac{d}{d x} (\frac{- 4 x}{( x ^{2} - 1 ) ^{2}})

\int 2 e^{9 x} d x

\frac{\partial}{\partial y} (\frac{2 x ^{2} y}{4 + x ^{2} y ^{2}})

\int sec^{2} (2 θ) d θ

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