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)}

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

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

Solution steps

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

Simplify

\frac{- 11}{x} : - \frac{11}{x}

= \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}}}

x \to 0 + lim ((\frac{sin ( x )}{x})^{\frac{1}{x}})

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

\int \frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4} - \frac{x ^{2}}{2} d x

\int cos (x) sin (x) d x

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)}