What is the derivative of 5/(3x^2) ?

The derivative of 5/(3x^2) is -(10)/(3x^3)

What is the first derivative of 5/(3x^2) ?

The first derivative of 5/(3x^2) is -(10)/(3x^3)

derivative of

\frac{5}{3 x ^{2}}

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

Solution steps

\frac{d}{d x} (\frac{5}{3 x ^{2}})

Take the constant out:

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

= \frac{5}{3} \frac{d}{d x} (\frac{1}{x ^{2}})

Apply exponent rule:

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

= \frac{5}{3} \frac{d}{d x} (x^{- 2})

Apply the Power Rule:

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

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

Simplify

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

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

d er i v a t i v e y = lo g_{10} (3 x)

d er i v a t i v e f (x) = (1 + 2 e^{x}) sin (x)

d er i v a t i v e - 2^{x}

d er i v a t i v e \frac{1}{4} \cdot x^{2} - \frac{( sin ( 2 x ^{2} ) )}{8}

d er i v a t i v e sin^{4} (3 x - 4 x^{2})

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