anonymous one year ago 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?

1. anonymous

It's the same.

2. anonymous

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

3. IrishBoy123

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

4. zzr0ck3r

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

5. anonymous

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

6. zzr0ck3r

I am guessing that depends on the book? There is more than the one...

7. anonymous

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?

8. IrishBoy123

first one

9. UnkleRhaukus

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