implicit differentiation with the chain rule

Posted: alla 615 Product: Maple

December 08 2008

Consider this problem in differentiation:

d/dx [ sqrt(u^2) ], where u is a differentiable function of x and u < > 0.

The answer is:

u' (u/|u|), where u' is the derivative of u with respect to x.

This problem involves implicit differentiation & the chain rule.

What Maple input will produce the answer above?

Alla

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