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    Implicit differentiation, integral, maximum area

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    Use implicit differentiation to find an equation of the line tangent to the curve x3 + 2xy + y3 = 13 at the point (1, 2).

    What is the maximum possible area of a rectangle inscribed in the ellipse x2 + 4y2 = 4 with the sides of the rectangle parallel to the coordinate axes?

    . Evaluate ∫ dt / (t+1)^2

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    Solution Summary

    This shows how to use implicit differentiation to find a tangent line, find maximum possible area of a given shape, and evaluate a given integral.