Finding constants given an equation, finding the simplified expression to find f', and finding f' of various numbers.
Let f(x)=−1+5x2. If h≠0, then the difference quotient can be simplified as
where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants.
Use the simplified expression to find f′(x)=limh→0f(x+h)−f(x)h=
Finally, find each of the following:
I don't know what I'm supposed to do for part 1.
Is part 2:
And I think I need part 2 to be correct in order to do part 3.