Given a sketch of y = f'(x) and asked to draw f(x) and vice versa

eoins23456

were give the graph but not the function its just called f(x).does anyone know of any links that might examples of this kinda stuff?Its in linear analysis.I dont have any examples at the moment any help would be appreciated!

LeixlipRed

You're given a sketch of the derivative of some function f(x) and asked to draw the function? And vice versa? Well you need to ask yourself about what properties you know about derivatives. For example if the derivative is positive on some interval what can you say about f(x) on that interval? This is all simple stuff and you know it already, just need the right direction...

sponsoredwalk

This isn't exactly what you're looking for, but it'll give you an idea of what's
going on & includes part of what, most likely, you should be doing to answer
this:

https://www.youtube.com/watch?v=vOTTuZflAIM

red_fox

sponsoredwalk wrote: »

This isn't exactly what you're looking for, but it'll give you an idea of what's
going on & includes part of what, most likely, you should be doing to answer
this:

https://www.youtube.com/watch?v=vOTTuZflAIM

Hm, when giving the domain he says the parenthesis at 0 'emphasize' that 0 is not in the domain - this isn't a good wording, there's no emphasis, this is just the notation to describe it.

Worse still he states that for a fraction to be zero 'really only the numerator needs to be zero'. This could lead you to think that y=(x-2)/(x-2) has an x-intercept for x=2, when in fact it has no x-intercept at all. He would first need to make the assumption that the numerator and denominator have no common factors.

I didn't watch it all but aside from skipping a few finer points it probably gives a nice introduction, but potentially misleading.