P2 TESTSurds indices and logarithms20020924 DJS
No Calculators. Your working is crucial to the marking.
1 Simplify a) √125 b) 363/2 c) 64 -1/3
2 Simplifya) 3 .b) 2 - √5
2+√3 2√5 +3
3 Solve a) 1.02 x = 2 b)log7 x = 3 c) logx 3 = 7
…. and do these differentiations, simplifying your answers as appropriate..
4 d ( 3x-2) d ( e3x) d ( 3x2 – 6) –5 / 6
dx dx dx
5 d ( 3x-2 + 5x3)2/3 d (3x-4 e3x) d ( 3x2 – 6x + 4)
dx dx dx ( x – 2 )
Find the inflexions of the curve y = 3x4 – 6x3 – 10 and determine their type.