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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{( x - 1 ) ^{3}}{x} d x

f (x) = 3 x^{2} + 1

\frac{1}{2} x^{4}

x \to 2 lim (x^{4} + 2 x + 4)

\int \frac{e ^{- u}}{π u} d u

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