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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 $B$ .

a.

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

[6]

b.

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

[3]

1.9.16 Implicit differentiation (A-level only) Questions

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