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1.9.16 Implicit differentiation (A-level only)

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Question 3

A curve has the equation $x^2 + xy + 2y^2 = 14$

The gradient of the tangent to the curve is $−13\displaystyle -\frac{1}{3}$ at the points $A\,$ and $B$ .

Show that $5 x - y = 0$ at $A\,$ and $B$ .

[6]

Find the coordinates of $A\,$ and $B$ .

[3]

Markscheme

1.9.16 Implicit differentiation (A-level only) Questions

A Level
Maths
1.9.16 Implicit differentiation (A-level only)

47 exam-style questions on OCR (MEI) A Level Maths 1.9.16 Implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.9.16 Implicit differentiation (A-level only)

Question bank

1.9.16 Implicit differentiation (A-level only)

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 3

A curve has the equation $x^2 + xy + 2y^2 = 14$

The gradient of the tangent to the curve is $−13\displaystyle -\frac{1}{3}$ at the points $A\,$ and $B$ .

Show that $5 x - y = 0$ at $A\,$ and $B$ .

[6]

Find the coordinates of $A\,$ and $B$ .

[3]

Markscheme

1.9.16 Implicit differentiation (A-level only) Questions

A Level
Maths
1.9.16 Implicit differentiation (A-level only)

47 exam-style questions on OCR (MEI) A Level Maths 1.9.16 Implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.