What is the derivative of (36/x) ?

The derivative of (36/x) is -(36)/(x^2)

What is the first derivative of (36/x) ?

The first derivative of (36/x) is -(36)/(x^2)

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\frac{d}{d x} (\frac{36}{x})

- \frac{36}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{36}{x})

Take the constant out:

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

= 36 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 36 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 36 (- 1 \cdot x^{- 1 - 1})

Simplify

36 (- 1 \cdot x^{- 1 - 1}) : - \frac{36}{x ^{2}}

= - \frac{36}{x ^{2}}

\frac{3 s + 4}{s ^{2} - 1}

\int 3 e^{- x} - 2 sin (\frac{π}{2} - x) d x

\frac{d}{d x} (3 x^{2} - 6 x - 9)

y = 2 sec (x) - 4 cos (x)

t \to 0 lim (\frac{e ^{4 t} - 1}{t})

What is the derivative of (36/x) ?
The derivative of (36/x) is -(36)/(x^2)
What is the first derivative of (36/x) ?
The first derivative of (36/x) is -(36)/(x^2)