What is the derivative of (-14/(sqrt(x))) ?

The derivative of (-14/(sqrt(x))) is 7/(x^{3/2)}

What is the first derivative of (-14/(sqrt(x))) ?

The first derivative of (-14/(sqrt(x))) is 7/(x^{3/2)}

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\frac{d}{d x} (\frac{- 14}{x})

\frac{7}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{- 14}{x})

Simplify

\frac{- 14}{x} : - \frac{14}{x}

= \frac{d}{d x} (- \frac{14}{x})

Take the constant out:

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

= - 14 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 14 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= - 14 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

- 14 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : \frac{7}{x ^{\frac{3}{2}}}

= \frac{7}{x ^{\frac{3}{2}}}

d er i v a t i v e x - 1

x \to \infty lim (1 + \frac{5}{x})

\int \frac{3}{4 - x} d x

y^{^{'}} - 3 y = t e^{2 t}

\int_{0}^{\frac{π}{2}} 19 sin^{2} (2 x) d x

What is the derivative of (-14/(sqrt(x))) ?
The derivative of (-14/(sqrt(x))) is 7/(x^{3/2)}
What is the first derivative of (-14/(sqrt(x))) ?
The first derivative of (-14/(sqrt(x))) is 7/(x^{3/2)}