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

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

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

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

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derivative of

f (x) = x^{2} - 1

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

7 x - x^{2}, 2 x, (0, 10)

x (4 x - 12)^{3}

\int 5 sin (5 x) sin (x) d x

\int \frac{x ^{3}}{( 9 - x ^{4} ) ^{2}} d x

f (x) = 2 x^{e}

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