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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int - x - 1 d x

\frac{d}{d t} (9 sin (t))

\frac{d}{d t} (t e^{t} cot (t))

\frac{5}{s ^{4}}

y^{^{'}} = - x

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