What is the derivative of (11/x) ?

The derivative of (11/x) is -(11)/(x^2)

What is the first derivative of (11/x) ?

The first derivative of (11/x) is -(11)/(x^2)

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\frac{d}{d x} (\frac{11}{x})

- \frac{11}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{11}{x})

Take the constant out:

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

= 11 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 11 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 11 (- 1 \cdot x^{- 1 - 1})

Simplify

11 (- 1 \cdot x^{- 1 - 1}) : - \frac{11}{x ^{2}}

= - \frac{11}{x ^{2}}

\int 2 x (x^{2} - 7)^{6} d x

\int_{\frac{1}{7}}^{3} 12 x ln (7 x) d x

\frac{d}{d x} (\frac{sin ( x )}{x ^{3}})

\frac{\partial}{\partial x} (\frac{1}{2} (x^{2} + 10 y^{2}))

What is the derivative of (11/x) ?
The derivative of (11/x) is -(11)/(x^2)
What is the first derivative of (11/x) ?
The first derivative of (11/x) is -(11)/(x^2)