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)

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\frac{d}{d x} (\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}}

x \to 0 + lim ((tan (4 x))^{x})

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

\int - x^{7} \cdot e^{x^{8} - 7} - 2 x d x

\int 14 x e^{7 x} d x

x \to 3 lim (\frac{3}{x ^{2} - 9})

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)