Need help quik with this differentiation

[houssamxd]

Homework Statement

Homework Equations

$\frac{d}{dx}$

The Attempt at a Solution

i couldn't do it because we didnt learn this type of question

 

[tiny-tim]

hi houssamxd!

(is the question to find dy/dx? )

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

 

[Mark44]

Homework Statement

Homework Equations

$\frac{d}{dx}$

The Attempt at a Solution

i couldn't do it because we didnt learn this type of question

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

Then y = [G(x)]³

How would you find dy/dx?

 

[HallsofIvy]

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".