What is the derivative of (20/x) ?

The derivative of (20/x) is -(20)/(x^2)

What is the first derivative of (20/x) ?

The first derivative of (20/x) is -(20)/(x^2)

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\frac{d}{d x} (\frac{20}{x})

- \frac{20}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{20}{x})

Take the constant out:

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

= 20 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 20 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 20 (- 1 \cdot x^{- 1 - 1})

Simplify

20 (- 1 \cdot x^{- 1 - 1}) : - \frac{20}{x ^{2}}

= - \frac{20}{x ^{2}}

x \to m + lim (x - [x])

\frac{d}{d x} (arctan (e^{2 x}))

7 t^{5}

\int sec (x) (sec (x) + tan (x)) d x

\int arctan (x) d x

What is the derivative of (20/x) ?
The derivative of (20/x) is -(20)/(x^2)
What is the first derivative of (20/x) ?
The first derivative of (20/x) is -(20)/(x^2)