Quiz

Question 1 · easy

Evaluate lim x->3 (x^2 - 9)/(x - 3).

Question 2 · easy

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

Question 3 · medium

Differentiate f(x) = x * sin(x).

Question 4 · medium

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

Question 5 · medium

Find dy/dx for x^3 + y^3 = 1.

Question 6 · easy

Find the critical points of f(x) = 2x^3 - 6x.

Question 7 · easy

Find ∫ (4x^3 - 6x + 1) dx.

Question 8 · easy

Evaluate ∫[0 to 3] x^2 dx.

Question 9 · medium

Find f(x) given f'(x) = 6x^2 and f(1) = 5.

Question 10 · easy

Evaluate ∫[0 to 2] (3x^2 + 2x) dx.