A-LevelMathematicsDifferentiation9709/21 · Oct/Nov 2022 · Q55 Marks
A curve has equation 4e²ˣy + y² = 21. Find the gradient of the curve at the point (0, -7).
- A curve has equation 4e²ˣy + y² = 21. Find the gradient of the curve at the point (0, -7).[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [M1] Use product rule to differentiate 4e²ˣy
- [A1] Obtain correct 8e²ˣy + 4e²ˣ(dy/dx)
- [B1] Obtain 8e²ˣy + 4e²ˣ(dy/dx) + 2y(dy/dx) = 0
- [M1] Substitute x=0 and y= -7 to find value of dy/dx (dependent at least one term involving dy/dx from implicit differentiation.)
- [A1] Obtain -28/5 (OE)
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