if f(x)= the integral of lntdt from sqrt(x) to 2, what is f'(x)?
Do you solve the integral first then derive it? And if so, wouldn't that just give you the function? Please help
differentiate, not derive.
f = ∫[√x,2] ln t dt
= t(ln t - 1) [√x,2]
= (2(ln2-1)-(√x)(1/2 lnx - 1)
f' = logx / 4√x
you can do it more directly; see wikipedia's article on differentiation under the integral sign.