In previous sections, various formulas have been introduced
to calculate derivatives. However, it is not possible to have a formula
for every possible situation. Thus, basic formulas like d(x^{n})/dx
= nx^{n1} need to be generalized so they can be used in a variety
of cases.
Suppose y = (x^{2 }+ 1)^{3},
how can dy/dx be calculated using derivative formula?
Let f(u) = u^{3}, where u = g(x) = x^{2 }+ 1. Then
The derivative of f and g can be calculated according to derivative
formula. A rule is needed to calculate the derivative of F which is a
composite function. This rule is named as Chain Rule.
