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Popular >

derivative of sqrt(1-2x^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (1 - 2 x^{2}) = - 4 x

= \frac{1}{2 1 - 2 x ^{2}} (- 4 x)

Simplify

\frac{1}{2 1 - 2 x ^{2}} (- 4 x) : - \frac{2 x}{1 - 2 x ^{2}}

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

Popular Examples

derivative of (sqrt(x)/(x^3+1))

\frac{d}{d x} (\frac{x}{x ^{3} + 1})

limit as x approaches 2+of 2sqrt(x-2)

x \to 2 + lim (2 x - 2)

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y = sin (sin (x)), (π, 0)

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\frac{d}{d x} (sin (x^{2} - 4))

(\partial)/(\partial u)((u^2v-v^3)^5)

\frac{\partial}{\partial u} ((u^{2} v - v^{3})^{5})

Frequently Asked Questions (FAQ)

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