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Popular >

derivative of sqrt(4x^5+11)

Solution

derivative of

4 x^{5} + 11

Solution

\frac{10 x ^{4}}{4 x ^{5} + 11}

Solution steps

\frac{d}{d x} (4 x^{5} + 11)

Apply the chain rule:

\frac{1}{2 4 x ^{5} + 11} \frac{d}{d x} (4 x^{5} + 11)

= \frac{1}{2 4 x ^{5} + 11} \frac{d}{d x} (4 x^{5} + 11)

\frac{d}{d x} (4 x^{5} + 11) = 20 x^{4}

= \frac{1}{2 4 x ^{5} + 11} \cdot 20 x^{4}

Simplify

\frac{1}{2 4 x ^{5} + 11} \cdot 20 x^{4} : \frac{10 x ^{4}}{4 x ^{5} + 11}

= \frac{10 x ^{4}}{4 x ^{5} + 11}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(4x^5+11) ?
The derivative of sqrt(4x^5+11) is (10x^4)/(sqrt(4x^5+11))
What is the first derivative of sqrt(4x^5+11) ?
The first derivative of sqrt(4x^5+11) is (10x^4)/(sqrt(4x^5+11))