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

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

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

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

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derivative of

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

\frac{d}{d x} (ln (18 - x^{2}))

\frac{\partial}{\partial x} (2 \cdot (y - 2)^{3} \cdot (x - 6))

(0.3) (2.7)

4 y^{^{''}} + y = 2 sec (\frac{t}{2})

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