List of formulas sin(x +y) = sin(x)cos(y) + cos(x) sin(y) cos(x + y) = cos(x) cos(y) - sin(x) sin(y) sin(2x) = 2sin(x)cos(x) cos (2x) = cos?(x) - sin?(x) = 2cos- (x) - 1 = 1 - 2sin?(x) - 1 lim sin(x) = 1 -1 lim cos(x) - 0 x-+0 COS(x) lim 0 z = x + iy = r(cos 0 + isin 0) = rei(0+2nT) (cos 0 + i sin () = eand = cos no + i sin ne Vz = Vr cos 8 + 2KT 0 + 2KT + isin , k = 0, 1, 2, ...n - 1 n n Below is a list of all the derivative rules Constant Rule: f(x) = c then f'(x) = 0 Constant Multiple Rule: f(x) = cg(x) then f' (x) = cg'(x) Power Rule: f(x) = x7 then f'(x) = nan-1 Sum and Difference Rule: f(x) = g(x) + h(x) then f'(x) = g'(x) + h'(x) Product Rule: f(x) = uv then f'(x) = u'v + uv' Quotient rule: f(x) = ~ then f'(x) - uv - uv' Chain rule: f(x) = g(h(x)) then f'(x) = g'(h(x))h'(x)Trig derivatives: f(x) = sinx then f'(x) = cosx f (x) = cosx then f'(x) = -sinx f(x) = tanx then f'(x) = sec2x f(x) = secx then f'(x) = sec(x )tan(x) f(x) = cotx then f'(x) = -csc2x f(x) = csex then f'(x) = -csc(x) cot(x) Exponential Derivatives: f (x) = a" then f'(x) = In(a)a" f(x) = ex then f'(x) = er f(x) = as(2) then f'(x) = In(a)as()g'(x) f (x) = es(*) then f'(x) = es(x)g'(x) Logarithm Derivatives: f(x) = loga(x) then f'(x) = In(a)x 1 f (x) = In(x) then f'(x) = In(x) f(x) = loga((g(x)) then f'(x) = g'(x) In(a)g(x) f(x) = In(g(x)) then f'(x) = 9'(x) g (x) NOTE: The formulae above are provided as a matter of principle. These formulae may or may not be needed to solve the problems on this exam.Questions 1 - 6. 1 mark each. Place your final answer in the box. 1. Solve | 2x - 5