What is the derivative of sqrt(4x^2-1) ?

The derivative of sqrt(4x^2-1) is (4x)/(sqrt(4x^2-1))

What is the first derivative of sqrt(4x^2-1) ?

The first derivative of sqrt(4x^2-1) is (4x)/(sqrt(4x^2-1))

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derivative of

4 x^{2} - 1

\frac{4 x}{4 x ^{2} - 1}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{2} - 1) = 8 x

= \frac{1}{2 4 x ^{2} - 1} \cdot 8 x

Simplify

\frac{1}{2 4 x ^{2} - 1} \cdot 8 x : \frac{4 x}{4 x ^{2} - 1}

= \frac{4 x}{4 x ^{2} - 1}

x \to - \frac{1}{2} lim (2 x^{2} + 3 x - 1)

x \to - 8 + lim (\frac{1}{x + 8})

\frac{\partial}{\partial y} (sin (x + y))

y = x^{2} + 10 x + 21

\int \frac{9}{81 - 9 x ^{2}} d x

What is the derivative of sqrt(4x^2-1) ?
The derivative of sqrt(4x^2-1) is (4x)/(sqrt(4x^2-1))
What is the first derivative of sqrt(4x^2-1) ?
The first derivative of sqrt(4x^2-1) is (4x)/(sqrt(4x^2-1))