What is the derivative of (9x/(sqrt(x))) ?

The derivative of (9x/(sqrt(x))) is 9/(2sqrt(x))

What is the first derivative of (9x/(sqrt(x))) ?

The first derivative of (9x/(sqrt(x))) is 9/(2sqrt(x))

Popular >

\frac{d}{d x} (\frac{9 x}{x})

\frac{9}{2 x}

Solution steps

\frac{d}{d x} (\frac{9 x}{x})

Simplify

\frac{9 x}{x} : 9 x

= \frac{d}{d x} (9 x)

Take the constant out:

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

= 9 \frac{d}{d x} (x)

Apply radical rule:

a = a^{\frac{1}{2}}

= 9 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 9 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

9 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{9}{2 x}

= \frac{9}{2 x}

x \to 0 + lim (x^{x^{8}})

\int 36 x^{3} (3 x^{4} + 3)^{5} d x

y \to 0 lim (\frac{0}{y})

f (x) = (x^{2} - 3) (x^{3} - 2 x), at x = - 2

\frac{\partial}{\partial x} (x e^{y} + x^{2} cos (y))

What is the derivative of (9x/(sqrt(x))) ?
The derivative of (9x/(sqrt(x))) is 9/(2sqrt(x))
What is the first derivative of (9x/(sqrt(x))) ?
The first derivative of (9x/(sqrt(x))) is 9/(2sqrt(x))