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

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

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

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

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derivative of

2 x^{2} - 1

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

x \to 1 - lim (ln (x - 1))

\frac{d}{d x} (\frac{9}{( x - 6 ) ^{\frac{4}{3}}})

\int 10 5 x^{2} - 1 d x

y^{^{''}} + 6 y^{^{'}} + 9 y = e^{2 x} (3 - 5 x)

\int \frac{x + 4}{2 x ^{2} + x - 1} d x

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