Could you please answer the following Calculus questions about: Differentiation: Definition and Fundamental Properties Mid-Module Check

Question 1(Multiple Choice Worth 6 points) (02.02 MC) Let f be the function given by f(x) = In x2 + cos x. What is the value of f'(2)? O-0.752 O-0.091 O 0.091 O 1.159 Question 2(Multiple Choice Worth 6 points)Question 2(Multiple Choice Worth 6 points) (02.01 MC) Which of the following would not be a representation of the differentiable function f where f'(1) = 2? O The slope of y = f(x) at x = 1 is 2. O The instantaneous rate of change at x = 1 of f(x) is 2. O lim f(1+h)-f(1) =2 h-+0 h O . f(2) -f(1) 2-1Question 3(Multiple Choice Worth 6 points) (02.02 MC) Let f be the function defined as f(x) = 1 3x - 4 for x23 for x 0. x x Part A: Find f '(x). (4 points) Part B: Write an equation for the line tangent to the graph of fat x = 1, (6 points) Choose File no file selected 1