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Popular >

(x^{-2})^'

Solution

(x^{- 2})^{^{'}}

Solution

- \frac{2}{x ^{3}}

Solution steps

(x^{- 2})^{'}

Apply the Power Rule:

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

= - 2 x^{- 2 - 1}

Simplify

- 2 x^{- 2 - 1} : - \frac{2}{x ^{3}}

= - \frac{2}{x ^{3}}

Popular Examples

integral from 2 to 3 of 1/x

\int_{2}^{3} \frac{1}{x} d x

integral of (6x^2-3x+3)

\int (6 x^{2} - 3 x + 3) d x

derivative of cos(2-3x)

\frac{d}{d x} (cos (2 - 3 x))

(dy)/(dt)+e^ty=e^t

\frac{d y}{d t} + e^{t} y = e^{t}

(d^2y)/(dx^2)-4(dy)/(dx)+2y=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 2 y = 0

Frequently Asked Questions (FAQ)

What is the (x^{-2})^' ?
The (x^{-2})^' is -2/(x^3)
What is the first (x^{-2})^' ?
The first (x^{-2})^' is -2/(x^3)