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})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \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}}

t \to 1 lim (sin (- π t))

\frac{d}{d x} (e^{3 x + 2 x^{2}})

h \to 0 lim (h^{2} - 3)

\frac{d}{d t} (\frac{1}{2} t^{2})

25 y^{^{''}} + 60 y^{^{'}} + 36 y = 0

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))