Differentiation and applications

The product rule

(* Ignore this section* - wk 3-4, 7H Q4,6) )

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

do only (j, n, r ) for q4

4 Use the product rule to differentiate each of the following. a y = x cos x b y = 3x sin x C y = (5x - 2) et d y=e"* (2- 11x) e y= x cos (3x + 1) y = 2x' log 7x g y = e log (2x - 5) h y = 8 sin 5xlog . 5x i y = 5 cos 2x sin x 4x j y = sin 3 COS X k f(x) = ex-3log , 6x I f(x) = 4e-* sin (2 - x) m f(x) = cos 6x n f (x) = Nxe -3x NX o f(x) = 2x 3 sin (2x + 3) p f(x) = e-2*log (3.x2 +5) q f(x) = (x2+ e30)(4 - e-3x) r f(x) = (x3+7x2)(x2 - 4x+1) s f(x) = (x2 -6)(2+ 3x - x2) t f(x) = TX COS 2nx