What is the derivative of-5/(sqrt(x)) ?

The derivative of-5/(sqrt(x)) is 5/(2x^{3/2)}

What is the first derivative of-5/(sqrt(x)) ?

The first derivative of-5/(sqrt(x)) is 5/(2x^{3/2)}

Popular >

\frac{d}{d x} (- \frac{5}{x})

\frac{5}{2 x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (- \frac{5}{x})

Take the constant out:

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

= - 5 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - 5 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= - 5 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

- 5 (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : \frac{5}{2 x ^{\frac{3}{2}}}

= \frac{5}{2 x ^{\frac{3}{2}}}

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

x \to 0 + lim (x^{9 s i n (x)})

\frac{1}{x} + ln (x) + cot (2 x)

y^{^{''}} - 4 y^{^{'}} + 4 y = 6 e^{2 x}

x \to 1 lim (x^{2} - 3 x + 2)

What is the derivative of-5/(sqrt(x)) ?
The derivative of-5/(sqrt(x)) is 5/(2x^{3/2)}
What is the first derivative of-5/(sqrt(x)) ?
The first derivative of-5/(sqrt(x)) is 5/(2x^{3/2)}