Determine the equation of the tangent line to the curve at the point .

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Determine the equation of the tangent line to the curve x2+xy+y2=7x^{2}+xy+y^{2}=7 at the point (2,1)(2,1). (a) y=−53x+133y=-\dfrac{5}{3}x+\dfrac{13}{3} (b) y=54x−32y=\dfrac{5}{4}x-\dfrac{3}{2} (c) y=−54x+72y=-\dfrac{5}{4}x+\dfrac{7}{2} (d) y=−45x+72y=-\dfrac{4}{5}x+\dfrac{7}{2}

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