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Popular >

derivative of 2sqrt(1-x^2)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

= 2 \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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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