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?

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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?

Mathematics
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It's the same.
but what is this called tho? specific to any category?
you mean this? \(f'(x)= \lim_{h \rightarrow 0}\frac {f(x+h)-(x)}{h}\) in which case its the definition of the derivative

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Other answers:

if you run the limit as h goes to 0 then you have the derivative at the point x
Yes exactly, also y’ for 2e^sin(4x+5) which chapter is this categorized in?
I am guessing that depends on the book? There is more than the one...
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?
first one
The Difference Quotient \[\frac{f(x+h)-f(x)}h\]

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