Please help me find the derivatives of the following:

1.) log(3/x)
2.) ln cot 1/2 x

Remenciements d'avance! :)

Quote:

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2.) ln cot 1/2 x

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Chain rule. Derivative of inside times derivative of outside.

The derivative of ln(u)=1/u. Since u=cot(x/2), then we have

Derivative of inside is the derivative of

Multiply them and simplify:





Remenciements d'avance! :)[/QUOTE]

Quote:

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Originally Posted by galactus

Chain rule. Derivative of inside times derivative of outside.

The derivative of ln(u)=1/u. Since u=cot(x/2), then we have

Derivative of inside is the derivative of

Multiply them and simplify:





Remenciements d'avance! :)

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[/QUOTE]

it can further be reduced to -1/sin(x) =-csc(x)
{2 sinAcosA = sin 2A}

Of course radiation. If further simplification was required, then that would be the OP's work. :)