What is the derivative of 8/(3x^2) ?

The derivative of 8/(3x^2) is -(16)/(3x^3)

What is the first derivative of 8/(3x^2) ?

The first derivative of 8/(3x^2) is -(16)/(3x^3)

Popular >

derivative of

\frac{8}{3 x ^{2}}

- \frac{16}{3 x ^{3}}

Solution steps

\frac{d}{d x} (\frac{8}{3 x ^{2}})

Take the constant out:

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

= \frac{8}{3} \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= \frac{8}{3} \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

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

Simplify

\frac{8}{3} (- 2 x^{- 2 - 1}) : - \frac{16}{3 x ^{3}}

= - \frac{16}{3 x ^{3}}

tan^{9} (x)

x \to 2 - lim (\frac{x + 1}{4 - x ^{2}})

\int 3 - t^{2} d t

f (t) = \frac{2 t + 1}{t + 3}

\int \frac{x ^{2}}{1 - x ^{3}} d x

What is the derivative of 8/(3x^2) ?
The derivative of 8/(3x^2) is -(16)/(3x^3)
What is the first derivative of 8/(3x^2) ?
The first derivative of 8/(3x^2) is -(16)/(3x^3)