Knowledge and Understanding (16 Marks) 1. Differentiate. Do not simplify. (a- d: 2 marks each, e: 3 marks) a ) y = Vx4 b) g(x) = (7x3 - 3x2 + x)(1+4x2) -5x+1 c) y = d) g(x) = V7x2 -3x (2x2-3)3 e) f (x) = (2x2 - 1)3(x4 + 3)5 2. Identify the differentiating rule that would be used with each function. (1 mark each) A Ax) = (x3 + x2 + 1 ) ( ~x + x - 2) D A(x) = 34x5 B Ax ) = X + x - 1 3x - 2 E Ax) = 3x* - 2x3 + x2 - 4x+ 1 C Ax) = 3(2x2 + 5x + 1 )' Chain rule Sum, difference and power rules Quotient rule power rule Product rule Page 1 of 4