The question in it's complete wording:
Consider the following curve.
y = 8 + 5x2 - 2x3.
Find the slope of the tangent to the curve at the point where x = a.
(y2-y1)/(x2-x1) where x2=x1+dx and the limit of dx is approaching zero and y2=f(x+dx).
The Attempt at a Solution
Well, this is the really hard part because they don't tell you what a is. Basically, this is a curve and they say find the slope of the tangent at the point where x=a, but that point could be anywhere on the entire curve.
Don't worry, I didn't misread the question. There isn't any info lingering elsewhere. A is not defined anywhere in the problem.
So my question is... what gives? Am I missing something here?
Thank you so much for any help,