Calculus I - Week 2

Quiz

Answer every question, then submit for automatic grading. 80% or above passes.

Question 1 · medium

State the limit definition of the derivative. Which limit expression equals f'(x)?

Question 2 · easy

Find f'(x) for f(x) = x^5.

Question 3 · easy

Differentiate f(x) = 8.

Question 4 · medium

Differentiate f(x) = 3x^4 - 2x^2 + 5x.

Question 5 · easy

Find the slope of the tangent to f(x) = x^2 at x = -3.

Question 6 · medium

If s(t) = 4t^3 - t, find the velocity v(t).

Question 7 · medium

Find f'(x) for f(x) = x^(1/3).

Question 8 · easy

Find f'(x) for f(x) = 6x^2 - x.

Question 9 · medium

Where does f(x) = x^2 - 6x have a horizontal tangent?

Question 10 · easy

Find f'(-2) for f(x) = x^3.