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Popular >

derivative of sqrt(3x^4-1)

Solution

\frac{d}{d x} (3 x^{4} - 1)

Solution

\frac{6 x ^{3}}{3 x ^{4} - 1}

Solution steps

\frac{d}{d x} (3 x^{4} - 1)

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{4} - 1) = 12 x^{3}

= \frac{1}{2 3 x ^{4} - 1} \cdot 12 x^{3}

Simplify

\frac{1}{2 3 x ^{4} - 1} \cdot 12 x^{3} : \frac{6 x ^{3}}{3 x ^{4} - 1}

= \frac{6 x ^{3}}{3 x ^{4} - 1}

Popular Examples

integral of ((x^2-x)/(x^3-6x^2+11x-6))

\int (\frac{x ^{2} - x}{x ^{3} - 6 x ^{2} + 11 x - 6}) d x

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(3x^4-1) ?
The derivative of sqrt(3x^4-1) is (6x^3)/(sqrt(3x^4-1))
What is the first derivative of sqrt(3x^4-1) ?
The first derivative of sqrt(3x^4-1) is (6x^3)/(sqrt(3x^4-1))