What is the derivative of 4/(5x) ?

The derivative of 4/(5x) is -4/(5x^2)

What is the first derivative of 4/(5x) ?

The first derivative of 4/(5x) is -4/(5x^2)

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\frac{d}{d x} (\frac{4}{5 x})

- \frac{4}{5 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{4}{5 x})

Take the constant out:

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

= \frac{4}{5} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= \frac{4}{5} \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= \frac{4}{5} (- 1 \cdot x^{- 1 - 1})

Simplify

\frac{4}{5} (- 1 \cdot x^{- 1 - 1}) : - \frac{4}{5 x ^{2}}

= - \frac{4}{5 x ^{2}}

\frac{d y}{d x} + 3 x^{2} y = 0

\frac{d}{d y} (\frac{y}{x ^{2} + y ^{2} + 1})

\int_{0}^{1} 2 π x (18 - 18 x) d x

\int sin^{2} (x) cos (x) ln (sin (x)) d x

\int sin^{5} (x) \cdot cos^{2} (x) d x

What is the derivative of 4/(5x) ?
The derivative of 4/(5x) is -4/(5x^2)
What is the first derivative of 4/(5x) ?
The first derivative of 4/(5x) is -4/(5x^2)