5 Questions

5 questions on the most basic derivative calculations a successful calculus student should know.

Questions and Answers

- 1.Find the derivative of the function f(x)=x^3 - 4x - 2
- A.
F '(x) = x^2 -4

- B.
F '(x) = 3x^2 -4

- C.
F '(x) = 3x^2 - 4x

- D.
F '(x) = x^4 - 4x^2 + 2x

- 2.Find the derivative of the function f(x) = cos(3x)
- A.
F '(x) = 3sin(3x)

- B.
F '(x) = -3cos(3x)

- C.
F '(x) = 3cos(3x)

- D.
F '(x) = -3sin(3x)

- 3.Find the slope of the line tangent to the graph of f(x) = x^2 -4 at x = 2. Enter the exact whole number.
- 4.Find the slope tangent to the graph of f(x) = x*e^(2x) at x = 1. Enter a decimal rounded two decimal places.
- 5.A rock dropped from a high bridge has height h feet after t seconds given by the model:h(t) = 800 - 16 t^2Find the velocity of the rock in feet per second after 4.5 seconds. Enter your exact answer, but don't include units.