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Popular Calculus >

derivative of sqrt(4+\sqrt{3x)}

Solution

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

Solution

\frac{3}{4 x 4 + 3 x}

Solution steps

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

Apply the chain rule:

\frac{1}{2 4 + 3 x} \frac{d}{d x} (4 + 3 x)

= \frac{1}{2 4 + 3 x} \frac{d}{d x} (4 + 3 x)

\frac{d}{d x} (4 + 3 x) = \frac{3}{2 x}

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

Simplify

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

= \frac{3}{4 x 4 + 3 x}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(4+\sqrt{3x)} ?
The derivative of sqrt(4+\sqrt{3x)} is (sqrt(3))/(4sqrt(x)\sqrt{4+\sqrt{3)sqrt(x)}}
What is the first derivative of sqrt(4+\sqrt{3x)} ?
The first derivative of sqrt(4+\sqrt{3x)} is (sqrt(3))/(4sqrt(x)\sqrt{4+\sqrt{3)sqrt(x)}}