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})

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}}}

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

y^{^{'''}} + 4 y^{^{'}} = sec (2 x)

\frac{d y}{d x} = 3 y (5 - y)

x \to 0 lim (3 π)

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)}