Using The Chain Rule For Three Functions a. Use the Chain Rule for three func...

Using The Chain Rule For Three Functions

a. Use the Chain Rule for three functions derived in Exercise 83 to find

Show that ((x²)³)⁴ simplifies to x²⁴, and verify that gives the same result as found in part (a).

Chain Rule For Three Functions Show that if f, g, and h are three differentiable functions, then

[Hint: Let G(x) = g(h(x)), so that the Chain Rule gives . Then use the Chain Rule to find and substitute the expressions found in the previous sentence for G(x) and to obtain the desired formula.]