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wouldn\'t it be false ? The normal line to a function f at the point (a,f(a)) is

ID: 2859645 • Letter: W

Question

wouldn't it be false ?

The normal line to a function f at the point (a,f(a)) is the line that is perpendicular to the tangent line to the function at that point. Therefore, the slope of the normal line is -1/f'(a) provided f'(a) is not zero). Select one: True False f'H (provided f(a) is The normal line to a function f at the point (a,f(a)) is the line that is perpendicular to the tangent line to the function at that point. Therefore, the slope of the normal line is not zero). -l f'H (provided f(a) is

Explanation / Answer

Ans. a) True

  The normal line is defined as the line that is perpendicular to the tangent line at the point of tangency. Because the slopes of perpendicular lines (neither of which is vertical) are negative reciprocals of one another, the slope of the normal line to the graph of f(x) is 1/ f(x).