
8.1Determine f`(x) from first principles if f(x) = 3x^{2}(5)

8.2John determines g`(a), the derivative of a certain function g at x = a, and arrives at the answer: ^{lim}_{h →0}
√4 +h  2 h
Write down the equation of g and the value of a.(2) 
8.3Determine
if y = √x^{3} dy dx 5 x^{3} (4) 
8.4g(x) = 8x + 20 is a tangent to f(x) = x^{3} + ax^{2} + bx + 18 at x = 1. Calculate the values of a and b.(5)
(16)
[{"prnt":"8","num":"8.1","answer":""},{"prnt":"8","num":"8.2","answer":""},{"prnt":"8","num":"8.3","answer":""},{"prnt":"8","num":"8.4","answer":""}]