A student was asked to find the equation of the tangent


Question: A student was asked to find the equation of the tangent plane to the surface z = x3 - y2 at the point (x, y) = (2, 3). The student's answer was

z = 3x2 (x - 2) - 2y(y - 3) - 1.

(a) At a glance, how do you know this is wrong?

(b) What mistake did the student make?

(c) Answer the question correctly.

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Mathematics: A student was asked to find the equation of the tangent
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