Homework Help: Differentiation notation help

1. Feb 20, 2008

Firepanda

http://img442.imageshack.us/img442/6018/scoreqt9.jpg [Broken]

Can someone explain what this notation means regarding differentiating please.

I've never seen it this way using the integration symbol, so I have no idea where to start.

:) thx

Last edited by a moderator: May 3, 2017
2. Feb 20, 2008

quasar987

Well for instance the first question asks you to find the derivative wrt x of the function F(x) defined by

$$F(x)=\int_{1}^x\ln(t)dt$$

hint: think fundamental theorem of calculus

3. Feb 20, 2008

Firepanda

$$F(x)=\int_{1}^x\f(t)dt then dF/dx=f(x)$$

*hopes his latex command worked*

So im supposed to differentiate F(x), which will then give me f(x) as my answer?

4. Feb 20, 2008

Firepanda

lol that went tits up, ill try again

$$F(x)=\int_{1}^x\f(t)dt\then dF/dx=f(x)$$

5. Feb 20, 2008

Firepanda

1 more try :( :

$$F(x)=\int_{1}^x\f\(t)dt\ then dF/dx=f(x)$$

6. Feb 20, 2008

Firepanda

K nevermind :D

but do I just calculate the integral as F(x), then differentiate F(x) with respect to x, which is then my answer?

7. Feb 20, 2008

quasar987

There is an "edit" button right next to "quote" and "multiquote" in the bottom right of each post that lets you edit the latex in case you mess up.

But you're gonna run into difficulties when you try to do (ii) with this method because there are no primitives of e^{-tÂ²} in terms of elementary functions... so you will have to use a slightly more sophisticated approach.

Last edited: Feb 20, 2008
8. Feb 20, 2008

quasar987

the whole point of what?

write what in integral form?

"represented"?