Let be defined implicitly by

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

Problem

Let yy be defined implicitly by tan⁡y+xy2=x\tan y+x y^{2}=x. Calculate d2ydx2\dfrac{d^{2}y}{dx^{2}} at the point (1,0)(1,0). (a) 22 (b) 00 (c) −2-2 (d) −1-1

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