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Popular >

derivative of-(11/(sqrt(x)))

Solution

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

Solution

\frac{11}{2 x ^{\frac{3}{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^{- \frac{1}{2}})

Apply the Power Rule:

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

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

Simplify

- 11 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : \frac{11}{2 x ^{\frac{3}{2}}}

= \frac{11}{2 x ^{\frac{3}{2}}}

Popular Examples

integral of (5e^x)/(e^{2x)+8e^x+16}

\int \frac{5 e ^{x}}{e ^{2 x} + 8 e ^{x} + 16} d x

integral of (7/(x^4))

\int (\frac{7}{x ^{4}}) d x

(\partial)/(\partial x)(ln(e^x+y))

\frac{\partial}{\partial x} (ln (e^{x} + y))

integral of (x+1)/((x-3)^2)

\int \frac{x + 1}{( x - 3 ) ^{2}} d x

integral from t to 1 of 1/(x^2)

\int_{t}^{1} \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of-(11/(sqrt(x))) ?
The derivative of-(11/(sqrt(x))) is (11)/(2x^{3/2)}
What is the first derivative of-(11/(sqrt(x))) ?
The first derivative of-(11/(sqrt(x))) is (11)/(2x^{3/2)}