(d) Let f(0) = 1 + x 2 – 7x + 100. Find the point on the graph of f at which the tangent line has slope -8.

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Keith LeannonLv2

20 Jan 2018

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The slope of the line tangent to the curve y = f (x) at the point P (a, f(a)) is given by mtan = lim- x+a f (x) - f (a) -, if the limit exists. X - a 5. (12 pts) Let £ (x) and a = 5. (a) Using the definition above, find the slope, mtan of the line tangent to the graph off at P (a, f (a)). (b) Find an equation of the tangent line in part (a).

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(d) Let f(0) = 1 + x 2 – 7x + 100. Find the point on the graph of f at which the tangent line has slope -8.

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