What is the derivative of (10/(sqrt(x))) ?

The derivative of (10/(sqrt(x))) is -5/(x^{3/2)}

What is the first derivative of (10/(sqrt(x))) ?

The first derivative of (10/(sqrt(x))) is -5/(x^{3/2)}

Popular >

\frac{d}{d x} (\frac{10}{x})

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

Solution steps

\frac{d}{d x} (\frac{10}{x})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 10 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= 10 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

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

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

y^{^{'}} - \frac{3}{2} y = - \frac{3}{2} t

\frac{d}{d x} (x e^{- 10 x})

\frac{\partial}{\partial x} (2 x^{2} y^{3})

\int 2 (4 x^{2} e^{x^{3}}) d x

x \to 0 + lim (x + ln (x))

What is the derivative of (10/(sqrt(x))) ?
The derivative of (10/(sqrt(x))) is -5/(x^{3/2)}
What is the first derivative of (10/(sqrt(x))) ?
The first derivative of (10/(sqrt(x))) is -5/(x^{3/2)}