O-LevelAdditional MathematicsDifferentiation and integration4037/12 · May/June 2016 · Q65 Marks
Show that d/dx (e^(3x) √4x + 1) can be written in the form (e^(3x) (px+q)) / √4x + 1, where p and q are integers to be found.
- Show that d/dx (e^(3x) √4x + 1) can be written in the form (e^(3x) (px+q)) / √4x + 1, where p and q are integers to be found.[5]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [1] B1 for re^(3x)(4x+1)^(1/2) must be part of a sum, r=1/2 or 2 or 1/2 * 4
- [1] B1 for se^(3x)(4x+1)^(1/2) must be part of a sum, s is 1 or 3
- [1] B1 for all correct, allow unsimplified
- [1] DM1 for e^(3x)/((4x+1)^(1/2)) (a+bx), dependent on first 2 B marks, must be using a correct method, collecting terms in the numerator correctly
- [1] A1
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