# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2005 | May-Jun | (P1-9709/01) | Q#7

Question The function  is defined for the domain .      i.       Find the range of .    ii.       Sketch the graph of . A function g is defined by , for , where A is a constant.   iii.     State the largest value of  for which  has an inverse.   iv.       When  has this value, obtain an expression, in terms of , […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2005 | Oct-Nov | (P1-9709/01) | Q#8

Question A function f is defined by  for .      i.       Find an expression, in terms of , for  and show that f is an increasing function.    ii.       Find an expression, in terms of , for  and find the domain of . Solution i.   We have the function; The expression for  represents derivative of . Rule for differentiation is of  is: Rule for differentiation […]