The curve defined by contains the point

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

Problem

The curve defined by x2+y2+exy=10x^{2}+y^{2}+e^{xy}=10 contains the point (0,3)(0,3). What is the slope of the tangent line to the curve at this point? (a) 00 (b) −12-\dfrac{1}{2} (c) −2-2 (d) 12\dfrac{1}{2}

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