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f' is the line of the slope of f

How can I find that without an equation?

You can look at how line A decreases on the interval -infinity to zero

and then you can see that line b is negative from -infinity to zero

This problem is so confusing omg. Okay so is line B decreasing from .4- -infinit?

Yeah something like that

I think line B is positive and increasing while line A is decreasing

I'd just tell you the answer but I think its kinda important to understand. Give me a sec

ok thanks

Okay so I marked where line B is increasing / decreasing

You can see that line b is negative while a is decreasing

as well as positive while a is increasing

Yep so that would mean that it's f normal right

since the derivative is the line of the slope we know b is the derivative

Ohh ok

Yeah but it doesnt have to be decreasing AND negative, just decreasing.

oh ok i understand thanks for going through the work to help me with that one

Basically the number you want to find (the point) is a. So since you're finding 2, a is equal to 2.

So i would just try plugging them into the two definition of limit equations and see what comes out?

Not really your thing would look like (f(2+h) - f(2))/h

So for f(2+h) you plug (2+h) wherever you see x and f(2) where ever you see h for the 2nd part.

wait what 2nd part are you referring to

the - f(2)

Do you understand how to plug everything in?

im not sure i understand how to plug them in

Alright

actually more like ((2+h)^2 + 3(2+h) + 1 - (2)^2 + 3(2) + 1)/h

So then you just do algebra and simplify to get answers

But you can tell this one is c because c has x -> 2 as the limit instead of h -> 0

@swagmaster47 how can you tell the other answers are correct or not