1 answer

Tangent lines

Question:

Find the slope of the tangent line to the parabola y=4x-x2 at the point (1,3)(b) Find an equation of the tangent line in part (a).(c) Graph the parabola and the tangent line. As a check onyour work, zoom in toward the point (1,3) until the parabola andthe tangent line are indistinguishable.

Answers

A) The slope of the tangent line is the derivative at thepoint.. When x =1, .b) Use the point-slope form of the equation of a line:. Substituting gives, orsimplifying, ..

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