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Derivative - Chain Rule, 2

__Category__: Differential Calculus, Algebra

"Published in Vacaville, California, USA"

Given the following functions:
Find dy/dx.
__Solution__:
The first thing that we need to do is to get the derivative of the given functions with respect to their independent variables.
Take the derivative of the first equation with respect to u, we have

Take the derivative of the second equation with respect to x, we have

Since there are three variables in the given functions, then we have to use the Chain Rule in getting dy/dx, we have

Substitute the values of dy/du and du/dx to the above equation, we have

but

then the above equation becomes