3 marksDifferentiation I
CAPE Pure Mathematics Unit 1 · May/June 2010 · Paper 2 · Question 6(a)(i)
Differentiate with respect to x: y = sin (3x + 2) + tan 5x.
The mark scheme is shown once you've answered.
Practise this questionOther parts of this question
- 6(a)(ii)Differentiate with respect to x: y = (x² + 1) / (x³ - 1).[4 marks]
- 6(b)(i)Find ∫ from 1 to 4 of [3 f(x) + 4] dx.[4 marks]
- 6(b)(ii)Using the substitution u = x + 1, evaluate ∫ from 0 to 3 of 2f(x + 1) dx.[4 marks]
- 6(c)(i)Find the coordinates of the points P and Q.[5 marks]
- 6(c)(ii)Calculate the area of the shaded portion of the diagram bounded by the curve and the straight line.[5 marks]
More practice: the rest of this paper · more Differentiation I questions · all CAPE Pure Mathematics Unit 1 past papers