What is the derivative of f(x)=5x^{-2} ?

The derivative of f(x)=5x^{-2} is -(10)/(x^3)

What is the first derivative of f(x)=5x^{-2} ?

The first derivative of f(x)=5x^{-2} is -(10)/(x^3)

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derivative of

f (x) = 5 x^{- 2}

- \frac{10}{x ^{3}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

5 (- 2 x^{- 2 - 1}) : - \frac{10}{x ^{3}}

= - \frac{10}{x ^{3}}

\int (3 x - 2) e - x d x

f^{^{'}} (x) = 5 e^{x} + 3 x^{2} - 2 x

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

\int \frac{1}{6 x ( 5 + x )} d x

6 y^{^{''}} + 31 y = 0

What is the derivative of f(x)=5x^{-2} ?
The derivative of f(x)=5x^{-2} is -(10)/(x^3)
What is the first derivative of f(x)=5x^{-2} ?
The first derivative of f(x)=5x^{-2} is -(10)/(x^3)