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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derivative of

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}}

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + y ^{2}} - y^{2})

\int sin (13 x) d x

\int_{0}^{1} ln (4 x) d x

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

(x - 2) (x^{2} + 4)

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))