Differentiation and applications

Mixed problems on differentiation

(* Ignore this section* - wk 3-4, 7J Q4) )

Please answer the questions on the attachment below. ( ON PAPER/WRITTEN ) ( Please keep solving and explanation seperate)

Do only (a, d, f, i,j n, q, t, u) for Q3

3 Find the derivative of each of the following. (Note that more than one rule will need to be applied in some cases.) a y = e * cos (4x - 7) by= . x-2 3x + 1 c y = log (x + 1)3 d y = cos (x - 6x) e f(x) = e* cos 2x f f(x) = sin 2x cos 2x g f(x) = sin x h y = log (sin 3x) i y = 43x2 -5x+2 i f(x) = (x-1)(x2+5x+3) k g(x) = e(x- + 3) 1 8(x) = (2x+3) 5 x3 - 5 m f(x) = e-* cos (4x - 3) n y = cos- 3x o y = log (cos 3x) P f(x) = sin x4 x2 q f(x) = Cos 2x sin 2x r f(x) = [log. (5x - 1)14 log Vx S y = t y = sin x + 3 X U f(x) = 3x cos (2x + 1) 10g X2 v g(x) = x2 W y = et sin x x f(x) = 3 cos- xte-1x _x3 y (x) = 3 sin 6x + log. (5x2) -4ez z h(x) = cos' x