I need to prove that lim (mx+b) as x approaches c = mc +b. Any tips or help would be greatly appreciated.
Also, What exactly is the relationship of the definite integral to the derivative?
Again, help and or tips would be greatly appreciated.
I need to prove that lim (mx+b) as x approaches c = mc +b. Any tips or help would be greatly appreciated.
Also, What exactly is the relationship of the definite integral to the derivative?
Again, help and or tips would be greatly appreciated.
For the second one, if f is a function and f ' is its derivative, we have :
Usually, we define an antiderivative of f, F and say
Since f is an antiderivative of f ', we have the formula above.
Thank you both. Is there a way to expand on the relationship of the derivative and the definite intergal? I think I can follow the formulas above, but how would you go about explaining more in words? Thanks again for help.
An alternative to Moo's post would be that in a sense integration and differentiation are inverses. If and is continuous at some point then is differentiable at and