If you have a point at x = c and a function f(x), then I know Δy = f(c + Δx) - f(c).
Also, dy = f'(c)dx. However, I am uncertain of the origin of dy = f'(x)dx.
I want to say:
f(c + Δx) - f(c) = f'(c)(x-c) was simplified to dy = f'(c)dx
where f(c + Δx) - f(c) = dy
(x-c) = dx
But that would result in Δy = f'(c)dx and Δy > dy. Hence, it is...or should be wrong. Could anybody clairify the origin of dy = f'(c)dx for me?
Im the problem, actually.
The Attempt at a Solution
Also, in the problem! lol