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Popular >

derivative of arccot(x^3)

Solution

\frac{d}{d x} (arccot (x^{3}))

Solution

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

Solution steps

\frac{d}{d x} (arccot (x^{3}))

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

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\int 8 x + 1 - 9 e^{x} d x

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x \to 0 lim ((x + 1) \frac{3}{x})

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\int_{0}^{2} (15 4 x + 1) d x

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x \to 2 lim (\frac{x - 3}{x + 4})

Frequently Asked Questions (FAQ)

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