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

The derivative of (sqrt(x)/5) is 1/(10sqrt(x))

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

The first derivative of (sqrt(x)/5) is 1/(10sqrt(x))

Popular >

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

\frac{1}{10 x}

Solution steps

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

Take the constant out:

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

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

Apply radical rule:

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

= \frac{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}

= \frac{1}{5} \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

\frac{1}{5} \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{1}{10 x}

= \frac{1}{10 x}

x \to 0 lim (x (13 + \frac{5}{x}))

f (x) = e^{x} - 2

\int \frac{sec ^{2} ( x )}{6 + 2 tan ^{2} ( x )} d x

f (x) = \frac{1}{2} b (\frac{1}{x} - \frac{1}{x ^{0}})^{2}

f (x) = x^{3} - 5 x^{2} + 7, at x = 1

What is the derivative of (sqrt(x)/5) ?
The derivative of (sqrt(x)/5) is 1/(10sqrt(x))
What is the first derivative of (sqrt(x)/5) ?
The first derivative of (sqrt(x)/5) is 1/(10sqrt(x))