## anonymous 4 years ago Should be that last problem of the night: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

1. anonymous

2. anonymous

Its a tough one...

3. anonymous

Think of the problems this way: If you have $\int_{a(x)}^{b(x)} f(t) dt$ then, if F is the antiderivative of f, you get $F(a(x)) - F(b(x))$ Taking the derivative wrt x, you get $a'(x)f(a(x)) - b'(x) f(b(x))$

4. Zarkon

you have that backwards

5. anonymous

6. anonymous

Oh, oops. Yeah, flip the a and b, sorry :)

7. anonymous

Could I get the answer on this one? I must be messing something up, so Ill try working it backwards

8. anonymous

The third one.

9. anonymous

Awesome, thanks