Use the Chain Rule to find the derivative of
The given function can be expressed as the composition º where (referred to as the "outside" function) and (referred to as the "inside" function).
Recall the chain rule for differentiating º.
ºwwpUW/zBADCnWo4WIm9e7jcLal52CpdT6Zbklg==
In other words, the chain rule states that the derivative of the composition of functions h and g is the derivative of the outside function evaluated at the 9F4CWyz+4X3TuYfu7Uvfp3tOG9U= function times the derivative of the 9F4CWyz+4X3TuYfu7Uvfp3tOG9U= function.
Now in order to use the chain rule, we need h'(u) evaluated at g(x) and we need g'(x).
Find h'(u) and evaluate it at g(x).
a = XvVM00l89Is= and b = s0a3+lanu0A=
c = nc1ItEz0kR4= and d = 607M7xmPORU=
Find g'(x).
j = nc1ItEz0kR4= and k = XvVM00l89Is=
Substitute and appropriately in the chain rule to find the derivative of º where and .
º
m = V3jQIK3TPW4=, n = iSba6t70dtA= and p = s0a3+lanu0A=