If f (x) = 4sin(x)+3x^(x), find f'(2).

Answer 1

f = 4sinx + 3x^x
f' = 4cosx + 3x^x (lnx + 1)
f'(2) = 4cos(2) + 3*4(lnx + 1)
= 12 + 4cos(2) + 12lnx