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Popular >

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}

Popular Examples

derivative of ln(x^2-8)

\frac{d}{d x} (ln (x^{2} - 8))

integral from 5 to 6 of x/(x^2+6x+13)

\int_{5}^{6} \frac{x}{x ^{2} + 6 x + 13} d x

derivative of e^{ax}sin(bx)derivative of

e^{a x} sin (b x)

limit as x approaches 3 of e^{2/(3-x)}

x \to 3 lim (e^{\frac{2}{3 - x}})

(\partial)/(\partial y)(e^{2x}cos(y))

\frac{\partial}{\partial y} (e^{2 x} cos (y))

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))