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Popular >

derivative of sqrt(3+\sqrt{7x)}

Solution

\frac{d}{d x} (3 + 7 x)

Solution

\frac{7}{4 x 3 + 7 x}

Solution steps

\frac{d}{d x} (3 + 7 x)

Apply the chain rule:

\frac{1}{2 3 + 7 x} \frac{d}{d x} (3 + 7 x)

= \frac{1}{2 3 + 7 x} \frac{d}{d x} (3 + 7 x)

\frac{d}{d x} (3 + 7 x) = \frac{7}{2 x}

= \frac{1}{2 3 + 7 x} \cdot \frac{7}{2 x}

Simplify

\frac{1}{2 3 + 7 x} \cdot \frac{7}{2 x} : \frac{7}{4 x 3 + 7 x}

= \frac{7}{4 x 3 + 7 x}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3+\sqrt{7x)} ?
The derivative of sqrt(3+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{3+\sqrt{7)sqrt(x)}}
What is the first derivative of sqrt(3+\sqrt{7x)} ?
The first derivative of sqrt(3+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{3+\sqrt{7)sqrt(x)}}