What is the derivative of-1/(sqrt(x)) ?

The derivative of-1/(sqrt(x)) is 1/(2x^{3/2)}

What is the first derivative of-1/(sqrt(x)) ?

The first derivative of-1/(sqrt(x)) is 1/(2x^{3/2)}

Popular >

derivative of

- \frac{1}{x}

\frac{1}{2 x ^{\frac{3}{2}}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{1}{2 x ^{\frac{3}{2}}}

\int 8 x cos (5 x) d x

y^{^{''}} + 9 y^{^{'}} = 1

x \to - 2 lim (\frac{2 x}{x ^{2} - 4})

\int \frac{x ^{6} - x ^{3} + 25}{x ^{4} + 5 x ^{2}} d x

f (x) = e^{2} x

What is the derivative of-1/(sqrt(x)) ?
The derivative of-1/(sqrt(x)) is 1/(2x^{3/2)}
What is the first derivative of-1/(sqrt(x)) ?
The first derivative of-1/(sqrt(x)) is 1/(2x^{3/2)}