If t = v (x) and s = u (t), then
( o )
df
d w u
dt
dw ds
dt
dx
dt
dx
ds
dt
dx
=
⋅
=
⋅
⋅
provided all the derivatives in the statement exist 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