CAIE A Level Mathematics 9709 · Differentiation (A2)

Differentiation (A2): calculation question

5 marksChallenge

The curve $C$ has equation $x^2 + xy + y^2 = 7$ . The point $P(1,2)$ lies on $C$ .

Find the gradient of $C$ at $P$ .

(a)
Find $\frac{dy}{dx}$ at the point $P$ . Give your answer as an exact fraction.
[5]

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