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3.5.4 Differentiation (A-level only)

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Question 15

A curve has the equation $2x^2 + xy + 2y^2 = 20$

The gradient of the tangent to the curve is -1 at the points $R\,$ and $S$ .

Show that $x - y = 0$ at $R\,$ and $S$ .

[6]

Find the coordinates of $R\,$ and $S$ .

[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 15

A curve has the equation $2x^2 + xy + 2y^2 = 20$

The gradient of the tangent to the curve is -1 at the points $R\,$ and $S$ .

Show that $x - y = 0$ at $R\,$ and $S$ .

[6]

Find the coordinates of $R\,$ and $S$ .

[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.