Derivatives of a composite function Assignment Help

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Derivatives of a composite function:

Given a composite function y = f(x), that is a function denoted by y = F(u), u = Φ(x) or y = FΦ[(x)], then 1032_Derivatives of a composite function.png

This is called as chain rule. The rule can be extended to any number of composite variables;

For example if y = f(u(v)), then 2370_Derivatives of a composite function4.png

 

Example: Find out dy/dx

                            1019_Derivatives of a composite function1.png

Solution:            

2249_Derivatives of a composite function2.png

1226_Derivatives of a composite function3.png

 

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