O-LevelAdditional MathematicsDifferentiation and integration4037/22 · May/June 2020 · Q14 Marks
Variables x and y are such that y = sinx+e^*. Use differentiation to find the approximate change in y as x increases from π/4 to π/4+h, where h is small.
- (a)Variables x and y are such that y = sinx+e^*. Use differentiation to find the approximate change in y as x increases from π/4 to π/4+h, where h is small.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.
- [2] dy/dx = cos x - e^-x
- [1] dy = their dy/dx |x=π/4 * h
- [1] 0.251h
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