What is the derivative of y= 4/(x^2) ?

The derivative of y= 4/(x^2) is -8/(x^3)

What is the first derivative of y= 4/(x^2) ?

The first derivative of y= 4/(x^2) is -8/(x^3)

Popular >

derivative of

y = \frac{4}{x ^{2}}

- \frac{8}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{4}{x ^{2}})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 4 (- 2 x^{- 2 - 1})

Simplify

4 (- 2 x^{- 2 - 1}) : - \frac{8}{x ^{3}}

= - \frac{8}{x ^{3}}

\frac{\partial}{\partial x} (x sin (x + y))

y^{^{'}} + e^{x} y = x^{2} y^{2}

y = x^{2}, y = 17 x

\int_{0}^{1} \frac{e ^{x}}{e ^{x} + 1} d x

\frac{\partial}{\partial x} (a sin (w (x) x) + b cos (w (x) x))

What is the derivative of y= 4/(x^2) ?
The derivative of y= 4/(x^2) is -8/(x^3)
What is the first derivative of y= 4/(x^2) ?
The first derivative of y= 4/(x^2) is -8/(x^3)