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Popular Calculus >

derivative of y=sqrt(3x^2-4)

Solution

derivative of

y = 3 x^{2} - 4

Solution

\frac{3 x}{3 x ^{2} - 4}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} - 4) = 6 x

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

Simplify

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

= \frac{3 x}{3 x ^{2} - 4}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(3x^2-4) ?
The derivative of y=sqrt(3x^2-4) is (3x)/(sqrt(3x^2-4))
What is the first derivative of y=sqrt(3x^2-4) ?
The first derivative of y=sqrt(3x^2-4) is (3x)/(sqrt(3x^2-4))