- C @ https://math.usm.edu/webwork2/MAT_167-H005-Spring2022-Lee/proctored_quiz_mode/TEST1.v1/ to Problem 10. PREVIEW ONLY - ANSWERS NOT RECORDED Remaining time: 36:05 (min: (1 point) Part 1: The derivative at a specific point Use the definition of the derviative to compute the derivative of f(x) = 1 - 7 at the specific point a = 3. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). f' (3) = lim f(3 + h) - f(3) = lim (-7h(h+6))/(h) -42 h-+0 h h-+0 Part 2: The derivative function Use the definition of the derivative to compute the derivative of the function f(a) = 1 - 7x at an arbitrary point , Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit the second answer box). f'(x) = lim (f (z th) - f(z) = lim h h +0 - Part 3: The tangent line Now let's calculate the tangent line to the function f(x) = 1 - 7x2 at x = 5. a. By using f' () from part 2, the slope of the tangent line to f at x = 5 is f' (5) =-14x b. The tangent line to f at a = 5 passes through the point (5, f(5)) = on the graph of f. (Enter a point in the form (2, 3) including the parentheses.) C. An equation for the tangent line to f at = = 5 is y = Note: You can earn partial credit on this