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Popular >

derivative of (15/(x^2))

Solution

\frac{d}{d x} (\frac{15}{x ^{2}})

Solution

- \frac{30}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{15}{x ^{2}})

Take the constant out:

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

= 15 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= 15 \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= 15 (- 2 x^{- 2 - 1})

Simplify

15 (- 2 x^{- 2 - 1}) : - \frac{30}{x ^{3}}

= - \frac{30}{x ^{3}}

Popular Examples

integral from 0 to 12 of 1/(36-x^2)

\int_{0}^{12} \frac{1}{36 - x ^{2}} d x

integral from 0 to pi/6 of tsin(2t)

\int_{0}^{\frac{π}{6}} t sin (2 t) d t

inverse oflaplace 4/(s^2(s+2))+3/(s+2)inverse laplace

\frac{4}{s ^{2} ( s + 2 )} + \frac{3}{s + 2}

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\frac{d}{d x} (arctan (\frac{x}{4 - 16 - x ^{2}}))

limit as x approaches 1 of (2x)/(6x-10)

x \to 1 lim (\frac{2 x}{6 x - 10})

Frequently Asked Questions (FAQ)

What is the derivative of (15/(x^2)) ?
The derivative of (15/(x^2)) is -(30)/(x^3)
What is the first derivative of (15/(x^2)) ?
The first derivative of (15/(x^2)) is -(30)/(x^3)