Establish the following formula for the derivative of is correct,

For let

Then we know

Therefore, by Theorem 6.7 (p. 252 of Apostol) we have,

Using a trig identity for tangent and cosecant we have

since . Therefore we conclude,

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Stumbling Robot

A Fraction of a Dot
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Establish the formula for the derivative of *arccot x*

Establish the following formula for the derivative of is correct,

For let

Then we know

Therefore, by Theorem 6.7 (p. 252 of Apostol) we have,

Using a trig identity for tangent and cosecant we have

since . Therefore we conclude,