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Grade 12 · Calculus

Implicit differentiation

60 problems in this skill, each with a solver-verified answer key. Answers are checked the moment you submit — with a hint if you want one and a worked solution afterwards.

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

  1. Warm-up

    The curve x2+y2=17x^{2} + y^{2} = 17 passes through the point (−1,−4)(-1, -4). Use implicit differentiation to find y′y' at this point.

  2. Warm-up

    The curve x2+y2=58x^{2} + y^{2} = 58 passes through the point (3,7)(3, 7). Use implicit differentiation to find y′y' at this point.

  3. Warm-up

    The curve x2+y2=100x^{2} + y^{2} = 100 passes through the point (−6,−8)(-6, -8). Use implicit differentiation to find y′y' at this point.

Problems shown under their original terms: Generated (template, solver-computed).

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