What is the derivative of (15/(x^4)) ?

The derivative of (15/(x^4)) is -(60)/(x^5)

What is the first derivative of (15/(x^4)) ?

The first derivative of (15/(x^4)) is -(60)/(x^5)

Popular >

\frac{d}{d x} (\frac{15}{x ^{4}})

- \frac{60}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{15}{x ^{4}})

Take the constant out:

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

= 15 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 15 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 15 (- 4 x^{- 4 - 1})

Simplify

15 (- 4 x^{- 4 - 1}) : - \frac{60}{x ^{5}}

= - \frac{60}{x ^{5}}

f (x) = r^{2} - 8 x^{2}

\int e^{- \frac{x}{4}} sin (\frac{π}{4} x) d x

\int \frac{( 3 x - 4 )}{x ^{2} - 1} d x

\int_{0}^{4} π (16 - x^{2}) d x

\frac{d y}{d x} = 2 (1 + y^{2}) x

What is the derivative of (15/(x^4)) ?
The derivative of (15/(x^4)) is -(60)/(x^5)
What is the first derivative of (15/(x^4)) ?
The first derivative of (15/(x^4)) is -(60)/(x^5)