The derivative of
is
f(x) =
3
(6x² - 4x + 5)4
24(x - 3)
(6x² - 4x + 5)5
f'(x) = --
a. Show how to use the Chain Rule to find this result. Show all steps clearly. Be
sure to use the terminology and notation of the inner function and outer
function, where the outer function is an empty function.
b. Find the slope of the line tangent to the graph of f(x) at x = 0. (Just the slope,
not the equation.)
c. Find the x coordinates of all points on the graph of f(x) that have horizontal
tangent lines.