What do you suppose they're asking me to do, solve or say in this problem?

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Question

What do you suppose they're asking me to do, solve or say in this problem?

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anonymous · Answer

attachment

anonymous · Answer

do they mean the formula for f[x] and not f[t] ?
and still.. Im not sure what they're asking of me here.

michele_laino · Answer

I'm sorry, I'm not good with Mathematica

elsa213 · Answer

I think they mean the formula for f[x]

elsa213 · Answer

@hughfuve

anonymous · Answer

yeah Im lost too.. maybe they just want me to say, that we used integration to create the function and the f'[x] has just reversed it?

elsa213 · Answer

anonymous · Answer

Maybe the question is..
why would
$$f[x] = \int\limits_{a}^{x} g[t] dt $$
give us
f'[x] ?
And I am expected to explain?

elsa213 · Answer

Yes c:

ganeshie8 · Answer

Yes, this question is about fundamental theorem of calculus :
$$\dfrac{d}{dx}\int\limits_a^xg(t)\,dt~=~g(x)$$

anonymous · Answer

okay.. so I just need to read up on that.. thanks ganeshie8

elsa213 · Answer

Pfft I get no thanks. ;-;

elsa213 · Answer

And no medal >.<

anonymous · Answer

lol thanks elsa too :) but ganshie did solve the puzzle

elsa213 · Answer

YESH!!! >:D Thank you, Ganeshie. c:

anonymous · Answer

I do appreciate you coming to help though.. I really need it :)

ganeshie8 · Answer

It seems they want you guess below relation through exercises :

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