Derivatives of More Complicated Functions
Since most functions are complicated, we need some more rules. Next: how to find derivatives of functions that
were built by taking sums, products, and quotients of simpler functions.
The "prime" notation will become more useful as the functions become more complicated. If we have some expression
then we can write the derivative of that expression as
(x2)' denotes the derivative of x2.
If f(x) = 5x + 6, then f'(x) and (5x + 6)' mean the same thing.
(4sin(x) + ex)' denotes the derivative of 4sin(x) + ex (we'll know how to find this soon).
Be Careful: Whenever possible, simplify the function before finding its derivative.