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3.5.4 Differentiation (A-level only)

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Question 4

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

3.5.4 Differentiation (A-level only) Questions

A Level
Maths
3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.5.4 Differentiation (A-level only)

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3.5.4 Differentiation (A-level only)

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Question 4

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

3.5.4 Differentiation (A-level only) Questions

A Level
Maths
3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.