P2 practice paper 20021121
P2 TESTSurds indices and logarithmsv220021009 DJS
No Calculators. Your working is crucial to the marking.
1 Simplifya) 4√256 b) 643/2 c) 343 -1/3
2 Simplifya) 5 . b) 4 - √5
2√7+√3 2√5 +8
3 Solve a) log9 x = 5 b) logx 9 = 5 c) loga (a3) = a
…. and do these differentiations, simplifying your answers as appropriate..
4 d ( 3x-5) d ( e5x2)d ( 2x3 – 16) –7 / 4
dx dx dx
5 d ( 3x-2 + 5x-3) -2/3 d (5x-2 ex3) d ( 2x2 – 6x + 5)
dx dx dx ( x – 3 )
6 Find the stationary values and inflexions of the curve
y = 12x5 – 15 x4 -20x3 +30x3 – 10 and determine their type.