A-LevelMathematicsDifferentiation9709/22 · Oct/Nov 2018 · Q45 Marks
Find the gradient of the curve 4x + 3ye2x + y² = 10 at the point (0, 2).
- (a)Find the gradient of the curve 4x + 3ye2x + y² = 10 at the point (0, 2).[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- B1 Obtain 6ye2x + 3e2x dy/dx as derivative of 3ye2x
- B1 Obtain 2y dy/dx as derivative of y²
- B1 Obtain 4 as a derivative of 4x and zero as a derivative of 10
- M1 Substitute 0 and 2 to find gradient of curve
- A1 Obtain -16/7 or -2.29
- Allow unsimplified
- Dependent B mark, must have at least one of the two previous B marks
- Dependent on at least one B1
- Allow greater accuracy
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