Question

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

Answer 1

Its a tough one...

Answer 2

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
\[a'(x)f(a(x)) - b'(x) f(b(x)) \]

Answer 3

you have that backwards

Answer 4

Anyone got an answer?

Answer 5

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

Answer 6

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

Answer 7

The third one.

Answer 8

Awesome, thanks