What is the derivative of (12)/x ?

The derivative of (12)/x is -(12)/(x^2)

What is the first derivative of (12)/x ?

The first derivative of (12)/x is -(12)/(x^2)

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derivative of

\frac{12}{x}

- \frac{12}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{12}{x})

Take the constant out:

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

= 12 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 12 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 12 (- 1 \cdot x^{- 1 - 1})

Simplify

12 (- 1 \cdot x^{- 1 - 1}) : - \frac{12}{x ^{2}}

= - \frac{12}{x ^{2}}

(- 3 x^{2} - 2)^{4}

\frac{x - cos ( x )}{x ^{2} + cot ( x )}

\int \frac{2 x ^{2} + 3 x + 6}{x ^{3} + 4 x} d x

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

y = ln (x + 6)

What is the derivative of (12)/x ?
The derivative of (12)/x is -(12)/(x^2)
What is the first derivative of (12)/x ?
The first derivative of (12)/x is -(12)/(x^2)