Consider the parabola y = 4x - x^2. (a) Find the slope of the tangent line to the parabola at the point (1, 3). (b) Find an equation of the tangent line in part (a). y = (c) Graph the parabola and the tangent line.
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The derivative \( y' \) represents the slope of the tangent line at any point \( x \). \[ y = 4x - x^2 \] \[ y' = \frac{d}{dx}(4x - x^2) \] Show more…
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