(i) Find the derivative of √(x−1)(x−2)(x−3)(x−4) + sin x1+tan x
(ii) Evaluate limx→0(1+x)6−1(1+x)2−1
(i) 12√(x−1)(x−2)(x−3)(x−4) [1x−1+1x−2−1x−3−1x−4]+cos x + sin x − sin x sec2 x(1+tan x)2
(ii) 3
(i) Evaluate limx→1x+x2+x3+...+xn−nx−1
(ii) Find the derivative \sqrt{sin x} from first principle.
Evaluate limx→0(1+x)6−1(1+x)5−1
limx→0(1+x)6−1(1+x)2−1