Calculus Practice Problems

If you are looking for calculus challenges of the week, click here.

  1. Given that f(x) = x2 and g(x) = 1/x, find the derivative of f(g(x)).
  2. Let f(x) be the area of an ellipse with a minor radius of 1 and the major radius is x. What is the derivative of the function f(x) when x > 1?
  3. Calculate the derivative of the reciprocal of x+√x.
  4. Determine the antiderivative of a constant divided by x+√2.
  5. n2+nx is equal to a constant. Find the change in n relative to the change in x.
solutions