Derivatives True or False

1.	The graph below shows a function f and a line: The line is -> tangent to f at a True False
2.	Each graph below shows a function f and a line. Which line is NOT tangent to its corresponding function? -> B True False
3.	Three of the following phrases mean the same thing. Which phrase does not mean the same as the others? -> slope of f at a True False
4.	At which value of x is the slope of f closest to zero? -> x₁ True False
5.	The graph shows a function f. Which derivative is greatest? -> f ' (x₄) True False
6.	Find the tangent line to f(x) = x² at -1. -> y = -2x – 1 True False
7.	What is f ' (2), where f is shown below: -> 1 True False
8.	Consider the function f shown below: Which statement is true? -> We can draw a tangent line to f at x₂ but not at x₁. True False
9.	Use a local linearization to approximate cos(1.5), given that the derivative of cos(x) at π/2 is -1. -> 3.07 True False
10.	Which of the following statements cannot be true of any function f? -> f is both continuous and differentiable. True False

Submit

Join today and never see them again.

Get Started