Question

If f is the function given by f(x)=integral of sqrt(t^2-t) dt from 4 to 2x, then f'(2)=

Answer 1

do you recall the theorem here?

Answer 2

What do you mean?

Answer 3

2nd fundamental theorem of calculus?

Answer 4

if:
\(\large F(x) = \int_k^{u(x)}f(t)dt \)
then:
\(\large F'(x)=f(u(x)) \cdot u'(x) \)

i think that's how it goes...