What is the derivative of (-15/(sqrt(x))) ?

The derivative of (-15/(sqrt(x))) is (15)/(2x^{3/2)}

What is the first derivative of (-15/(sqrt(x))) ?

The first derivative of (-15/(sqrt(x))) is (15)/(2x^{3/2)}

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\frac{d}{d x} (\frac{- 15}{x})

\frac{15}{2 x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{- 15}{x})

Simplify

\frac{- 15}{x} : - \frac{15}{x}

= \frac{d}{d x} (- \frac{15}{x})

Take the constant out:

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

= - 15 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 15 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= - 15 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

- 15 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : \frac{15}{2 x ^{\frac{3}{2}}}

= \frac{15}{2 x ^{\frac{3}{2}}}

\frac{\partial}{\partial x} (sin (x yz))

\frac{d}{d x} (2 sin (- x))

34 (3 p + 1)^{- \frac{2}{5}}

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

\frac{1}{s ( s ^{2} + 25 )}

What is the derivative of (-15/(sqrt(x))) ?
The derivative of (-15/(sqrt(x))) is (15)/(2x^{3/2)}
What is the first derivative of (-15/(sqrt(x))) ?
The first derivative of (-15/(sqrt(x))) is (15)/(2x^{3/2)}