P2 20021009 surds etc

P2 practice paper 20021121

P2 TEST    Surds indices and logarithms  220021009  DJS

No Calculators. Your working is crucial to the marking.


1    Simplify  a) √256     b)  64 3/2     c)  343  -1/3


2    Simplify  a)         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 = 12x – 15 x -20x³ +30x² – 10  and determine their type.



© David Scoins 2017