I have this assignment due wednesday.. and I've started it.. but I want to make sure I'm on the right track.. and some of them I have no clue where to start. Anyways.. if anyone can help it would be much appreciated
1. Determine the derivative of
f(x)= 2x^2 - 1
from first principles. Use the quotient rule to verify your answer.
2. The graph of
f(x)= ax + b
has a horizontal tangent line at (2,-1). Determine the values of a and b.
3. The tangent line to the curve defined by
g(x)= x^4 - 2x^3 +3
at x= -1 intersects the curve at two other points P and Q. Determine the coordinates of P and Q algebraically. Illustrate this situation with a graph. (to graph g you need to create a table of values)
HINT: You need to research L'hopital's rule in order to complete this question
I have no clue what L'hopital's rule is, because we've never learned it, so if someone could also explain that to me.. that would be great.