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Derivatives · Inverse Trigonometric

Derivative of arccot(x)

ddx[arccot x]=−11+x2\frac{d}{dx}[\text{arccot}\, x] = -\frac{1}{1 + x^2}

The derivative of the inverse cotangent function. Note the negative sign compared to arctan.

  • 2 worked examples
  • 24 in Derivatives

Worked examples

Find d/dx[arccot(5x)].
  1. Chain rule: -1/(1+(5x)²) · 5 = -5/(1+25x²)

Answer: -5/(1 + 25x²)

1 more worked examplePremium

Verify that d/dx[arctan x + arccot x] = 0.

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Common questions

What is the Derivative of arccot(x)?

The derivative of the inverse cotangent function. Note the negative sign compared to arctan. It is one of the derivatives formulas in the CalcRef reference.

How do you use the Derivative of arccot(x)?

Worked example. Find d/dx[arccot(5x)]. Chain rule: -1/(1+(5x)²) · 5 = -5/(1+25x²). Answer: -5/(1 + 25x²).

Practice

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