Reader is invited to formulate chain
rule for composite of more functions Example 21 Find the derivative of the function given by f(x) = sin (x2) Solution Observe that the given function is a composite of two functions Indeed, if
t = u(x) = x2 and v(t) = sin t, then
f (x) = (v o u) (x) = v(u(x)) = v(x2) = sin x2
Rationalised 2023-24
 MATHEMATICS
122
Put t = u(x) = x2