# Need help quik with this differentiation

1. Dec 5, 2013

### houssamxd

1. The problem statement, all variables and given/known data

2. Relevant equations
$\frac{d}{dx}$

3. The attempt at a solution

i couldnt do it cuz we didnt learn this type of question

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2. Dec 5, 2013

### tiny-tim

hi houssamxd!

(is the question to find dy/dx? )

why can't you just use the first of your "relevant equations"?

3. Dec 5, 2013

### Staff: Mentor

$$\text{Let}~ G(x) = \int_0^x (t^3 + 1)^{10}dt$$

Then y = [G(x)]3

How would you find dy/dx?

4. Dec 5, 2013

### HallsofIvy

Staff Emeritus
So your question is to find the derivative $d u^3/dx$ where $u= \int_a^x f(t)dt$?

Surely, you have learned the chain rule:
$$\frac{dy}{dx}= \frac{dy}{du}\frac{du}{dx}$$

And to find du/dx, you need the "Fundamental Theorem of Calculus" which you give as a "relevant equation".