← back to the guide

Calculus (Maths Methods Units 3 and 4) quiz

12questions. Pick an answer and you'll see why right away.

  1. Differentiate f(x) = e^(3x) sin(x). f'(x) is:

  2. If g(x) = ln(x^2 + 1), g'(x) is:

  3. The integral of cos(2x) with respect to x is:

  4. An object's velocity v(t) = t^2 - 4. Its position function x(t) with x(0) = 0 is:

  5. Apply the chain rule to differentiate y = (3x^2 + 1)^4. dy/dx is:

  6. Use the trapezoidal rule with two subintervals on integral from 0 to 2 of x^2 dx. The estimate is:

  7. A function has f'(x) > 0 on (a, c) and f'(x) < 0 on (c, b), with f'(c) = 0. At x = c, f has:

  8. The area enclosed by y = x and y = x^2 between their intersection points is:

  9. Implicit derivative: x^2 + y^2 = 25 gives dy/dx equal to:

  10. The maximum value of f(x) = x e^(-x) on x >= 0 occurs at:

  11. Differential equations: dy/dx = ky has general solution:

  12. Which is the best opening sentence for a VCE Methods calculus optimisation problem?