There are 2 problems I am having particular trouble with.
A coal-burning electrical generating plant emits sulfur dioxide into the surrounding air. The concentration, C(x), in parts per million, is given approximately by C(x)= 0.1/x^2 where x is the distance from the plant in miles.
So the derivative is -.2x^-3 i believe?
And then I have to evaluate C(2) and C'(2).
C(2) = -.2(2)^3 = -.025
C'(2) = I am unsure of how to acquire this.
Use the definition of the derivative to find f'(x) if f(x) = x^3.
I know the derivative is 3x^2 but when I try to do it step by step by hand I get screwed up somewhere.
Any help or tips in the right direction would be appreciated.