Question

Studying for my Calc 2 exam which is in swedish but the book and all of the exercises are in english.
f(x)= f(x+h)-(x)/h
What part in calc 2 is this, what is this called in english?

Answer 1

It's the same.

Answer 2

but what is this called tho? specific to any category?

Answer 3

you mean this?
\(f'(x)= \lim_{h \rightarrow 0}\frac {f(x+h)-(x)}{h}\)
in which case its the definition of the derivative

Answer 4

if you run the limit as h goes to 0 then you have the derivative at the point x

Answer 5

Yes exactly, also
y’ for 2e^sin(4x+5) which chapter is this categorized in?

Answer 6

I am guessing that depends on the book?

There is more than the one...

Answer 7

well The chapters applied are:
Techiques and applications of differentiation
Integration
Applications of integrationSequences and series
Differential equations
Those are just head liners, I hope it narrows it down enough?

Answer 8

first one

Answer 9

The Difference Quotient
\[\frac{f(x+h)-f(x)}h\]