What is the derivative of (-7/(sqrt(x))) ?

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

What is the first derivative of (-7/(sqrt(x))) ?

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

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\frac{d}{d x} (\frac{- 7}{x})

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

Solution steps

\frac{d}{d x} (\frac{- 7}{x})

Simplify

\frac{- 7}{x} : - \frac{7}{x}

= \frac{d}{d x} (- \frac{7}{x})

Take the constant out:

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

= - 7 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 7 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= - 7 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

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

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

f (x) = - x^{2} - x + 4, at x = - 1

y^{^{''}} + 5 y^{^{'}} + 6 y = - 10 t e^{2 t}

\frac{d}{d x} (\frac{x ^{6}}{2})

ln (x + x^{2} - 3)

\int_{0}^{1} 2 π (2 - y) (8 y^{2}) d y

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