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Popular Calculus >

derivative of (sqrt(3x)/4)

Solution

\frac{d}{d x} (\frac{3 x}{4})

Solution

\frac{3}{8 x}

Solution steps

\frac{d}{d x} (\frac{3 x}{4})

Take the constant out:

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

= \frac{1}{4} \frac{d}{d x} (3 x)

Apply the chain rule:

\frac{1}{2 3 x} \frac{d}{d x} (3 x)

= \frac{1}{2 3 x} \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= \frac{1}{4} \cdot \frac{1}{2 3 x} \cdot 3

Simplify

\frac{1}{4} \cdot \frac{1}{2 3 x} \cdot 3 : \frac{3}{8 x}

= \frac{3}{8 x}

Graph

Popular Examples

derivative of 7/(3x^2)

d er i v a t i v e \frac{7}{3 x ^{2}}

(\partial)/(\partial x)(sin^3(2x))

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

integral from 0 to pi of 3xsin(x)

\int_{0}^{π} 3 x sin (x) d x

inverse oflaplace s/(s^4+4)

in v erse l a pl a ce \frac{s}{s ^{4} + 4}

derivative of 20cos(x)

\frac{d}{d x} (20 cos (x))

Frequently Asked Questions (FAQ)

What is the derivative of (sqrt(3x)/4) ?
The derivative of (sqrt(3x)/4) is (sqrt(3))/(8sqrt(x))
What is the first derivative of (sqrt(3x)/4) ?
The first derivative of (sqrt(3x)/4) is (sqrt(3))/(8sqrt(x))