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

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

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

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

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derivative of

- \frac{2}{5 x}

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

Solution steps

\frac{d}{d x} (- \frac{2}{5 x})

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

f (x) = 3 x + 6 x, (1, 9)

\int_{5}^{\infty} e^{- \frac{x}{3}} d x

\int \frac{2 x}{9 - x ^{2}} d x

- x + tan (x)

\int_{1}^{6} 2 d x

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