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Example 2

Find the derivative of

02_differentiation-342.gif.

g(t) has the form

g(t) = G(f(t)),

where

f(t) = 3t + 1, G(x) = √x.

We have 

f'(t) = 3,02_differentiation-343.gif

Then

02_differentiation-344.gif

In practice it is more convenient to use the Chain Rule with dependent variables x and y instead of functions f and g.


Last Update: 2006-11-15