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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int_{0}^{1} 2 e^{x} d x

x \to 0 - lim (\frac{2}{x})

x^{^{'}} = x - 2

\frac{d y}{d t} = \frac{1}{( 2 y + 1 )}

3 \cdot e^{- 2 t} + 2 \cdot sin (3 t)

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