# Derivatives of Trigonometric, Logarithmic, and Exponential Functions. Implicit Relations. How do I differentiate this implicit function ? Answer: sin(x-y) / sin(x-y) - 1

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y = #cos(x-y)#

y =

##### 1 Answer

May 27, 2017

Given:

Differentiate both sides. The left side is trivial:

The right side requires the chain rule:

Returning to the equation, we substitute into the right side:

Distribute the

Move all of the terms containing

factor out

Divide both sides by

Multiply the right side by 1 in the form of