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

The derivative of 3/(5x^2) is -6/(5x^3)

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

The first derivative of 3/(5x^2) is -6/(5x^3)

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

- \frac{6}{5 x ^{3}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

\frac{3}{5} (- 2 x^{- 2 - 1}) : - \frac{6}{5 x ^{3}}

= - \frac{6}{5 x ^{3}}

\int sin (x) sin (2 x) cos (3 x) d x

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

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

t \to 1 lim (\frac{t ^{2} - t}{t - 1})

\frac{d ^{2}}{d x ^{2}} f (x) = x^{3} + 3 x^{2} - 2 x + 1

What is the derivative of 3/(5x^2) ?
The derivative of 3/(5x^2) is -6/(5x^3)
What is the first derivative of 3/(5x^2) ?
The first derivative of 3/(5x^2) is -6/(5x^3)