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Popular Calculus >

derivative of sqrt(7x^3+4)

Solution

\frac{d}{d x} (7 x^{3} + 4)

Solution

\frac{21 x ^{2}}{2 7 x ^{3} + 4}

Solution steps

\frac{d}{d x} (7 x^{3} + 4)

Apply the chain rule:

\frac{1}{2 7 x ^{3} + 4} \frac{d}{d x} (7 x^{3} + 4)

= \frac{1}{2 7 x ^{3} + 4} \frac{d}{d x} (7 x^{3} + 4)

\frac{d}{d x} (7 x^{3} + 4) = 21 x^{2}

= \frac{1}{2 7 x ^{3} + 4} \cdot 21 x^{2}

Simplify

\frac{1}{2 7 x ^{3} + 4} \cdot 21 x^{2} : \frac{21 x ^{2}}{2 7 x ^{3} + 4}

= \frac{21 x ^{2}}{2 7 x ^{3} + 4}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(7x^3+4) ?
The derivative of sqrt(7x^3+4) is (21x^2)/(2sqrt(7x^3+4))
What is the first derivative of sqrt(7x^3+4) ?
The first derivative of sqrt(7x^3+4) is (21x^2)/(2sqrt(7x^3+4))