Evaluate w.r.t.x , (i) `"in"t x log x dx` (ii) `ing(x^2 - cos x +(1)/(x))dx`

Differentiate the following w.r.t x: (i) e^(-x) (ii) sin (log x), x gt 0 (iii) cos^(-1) (e^(x)) (iv) e^(cos x)

Differentiate the following w.r.t. X : (i) e^-x (ii) sin (log (x) , x>0 (iii) cos ^(-1)(e^x) (iv) e^cos x

Differentiate w.r.t.x,cos^(-1)(sin x)

Differentiate w.r.t x: log_(7)(log x)