What is the derivative of (5sqrt(x)/6) ?

The derivative of (5sqrt(x)/6) is 5/(12sqrt(x))

What is the first derivative of (5sqrt(x)/6) ?

The first derivative of (5sqrt(x)/6) is 5/(12sqrt(x))

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\frac{d}{d x} (\frac{5 x}{6})

\frac{5}{12 x}

Solution steps

\frac{d}{d x} (\frac{5 x}{6})

Take the constant out:

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

= \frac{5}{6} \frac{d}{d x} (x)

Apply radical rule:

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

= \frac{5}{6} \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= \frac{5}{6} \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

\frac{5}{6} \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{5}{12 x}

= \frac{5}{12 x}

\int 2^{x} + 4 sinh (x) d x

f (x) = \frac{2}{6 + 8 x}

\frac{\partial}{\partial u} (2 u)

\int_{- 2}^{2} 16 - 4 y^{2} d y

x \to 0 + lim (ln (x) - \frac{1}{x})

What is the derivative of (5sqrt(x)/6) ?
The derivative of (5sqrt(x)/6) is 5/(12sqrt(x))
What is the first derivative of (5sqrt(x)/6) ?
The first derivative of (5sqrt(x)/6) is 5/(12sqrt(x))