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Popular >

derivative of sqrt(1-3x^2)

Solution

\frac{d}{d x} (1 - 3 x^{2})

Solution

- \frac{3 x}{1 - 3 x ^{2}}

Solution steps

\frac{d}{d x} (1 - 3 x^{2})

Apply the chain rule:

\frac{1}{2 1 - 3 x ^{2}} \frac{d}{d x} (1 - 3 x^{2})

= \frac{1}{2 1 - 3 x ^{2}} \frac{d}{d x} (1 - 3 x^{2})

\frac{d}{d x} (1 - 3 x^{2}) = - 6 x

= \frac{1}{2 1 - 3 x ^{2}} (- 6 x)

Simplify

\frac{1}{2 1 - 3 x ^{2}} (- 6 x) : - \frac{3 x}{1 - 3 x ^{2}}

= - \frac{3 x}{1 - 3 x ^{2}}

Graph

Popular Examples

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\frac{d}{d x} (\frac{x ^{2} - 8 x + 15}{x ^{2} + 3 x + 2})

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\int a x^{2} + b x + c d x

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1-3x^2) ?
The derivative of sqrt(1-3x^2) is -(3x)/(sqrt(1-3x^2))
What is the first derivative of sqrt(1-3x^2) ?
The first derivative of sqrt(1-3x^2) is -(3x)/(sqrt(1-3x^2))