>>9562808if you're an undergrad, just think of it as a formula that let's you "approximate" your function. see
>>9564879For example, approximate sin(x) about x0=0 up to first order i.e. sin(x) = sin(0) + cos(0)(x-0) = x. (Can also call this the linearized equation for sin(x))
If you;re a grad student, then I guess look at the proof and notice how the mean value theorem applies