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Popular >

derivative of arctan(1-3x^2)

Solution

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

Solution

- \frac{6 x}{9 x ^{4} - 6 x ^{2} + 2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{( 1 - 3 x ^{2} ) ^{2} + 1} (- 6 x) : - \frac{6 x}{9 x ^{4} - 6 x ^{2} + 2}

= - \frac{6 x}{9 x ^{4} - 6 x ^{2} + 2}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of arctan(1-3x^2) ?
The derivative of arctan(1-3x^2) is -(6x)/(9x^4-6x^2+2)
What is the first derivative of arctan(1-3x^2) ?
The first derivative of arctan(1-3x^2) is -(6x)/(9x^4-6x^2+2)