The sum of the x-coordinates of the points on the curve y = x³ − 3x² − 9x + 5 at which the tangent is parallel to the x-axis is

Question

MCQ (Single)Geometrical Meaning of Derivative as Slope of Tangent

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Find a point on the curve y = (x − 2)² at which the tangent is parallel to the line joining the chord through the points (2, 0) and (4, 4).

Find the point on the curve y = 2x² - 6x - 4 at which the tangent is parallel to the x-axis.

Geometrical Meaning of Derivative as Slope of Tangent

Derivative of Polynomial Functions

The figure shows the curve y = f(x) and its tangent at P(2, 3); the tangent meets the y-axis at Q(0, −1). If g(x) = x f(x), then g'(2) is equal to