What is the derivative of 5/2 x^{-2} ?

The derivative of 5/2 x^{-2} is -5/(x^3)

What is the first derivative of 5/2 x^{-2} ?

The first derivative of 5/2 x^{-2} is -5/(x^3)

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\frac{d}{d x} (\frac{5}{2} x^{- 2})

- \frac{5}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{5}{2} x^{- 2})

Take the constant out:

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

= \frac{5}{2} \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

= \frac{5}{2} (- 2 x^{- 2 - 1})

Simplify

\frac{5}{2} (- 2 x^{- 2 - 1}) : - \frac{5}{x ^{3}}

= - \frac{5}{x ^{3}}

e^{m x}

y = 9 - 0.25 x^{2}, y = 1, 2 < x < 5

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + 9 y ^{2}})

\int (x + 1 + x^{2})^{6} d x

What is the derivative of 5/2 x^{-2} ?
The derivative of 5/2 x^{-2} is -5/(x^3)
What is the first derivative of 5/2 x^{-2} ?
The first derivative of 5/2 x^{-2} is -5/(x^3)