3x - 5 is the slope of the tangent line (f) At how many points on the graph of y = f(x) = equal to 1?

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18 Apr 2022

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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).

3. 4. (12 points) Let f(c) = 2-1 (a) Find the point(s) on the graph of y = f(1) where the slope of the tangent line 1 is - 3 (b) Use the definition of derivative ("first principles") to find f'(x).

(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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3x - 5 is the slope of the tangent line (f) At how many points on the graph of y = f(x) = equal to 1?

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