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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{( 3 x ^{2} )}{( 5 - 3 x ) ^{4}}

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

\int (8 + x) d x

\frac{d y}{d x}, x^{2} y + x y^{2} = 6

\int \frac{1}{3 - 4 x} d x

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