Calculus Mock Tests

The number of points where the function f(x) = |x − 1| · |x − 2| · |x − 3| is not differentiable is

If f(x) = (x² - 4)/(x - 2) for x ≠ 2 and f(2) = k, then for f to be continuous at x = 2, k must be:

The value of integral from 0 to 1 of tan⁻¹x dx is

Let f: R → R be defined by f(x) = x³ − 3x + 2. How many real values of x satisfy f(x) = 0?

The value of lim(x → ∞) (1 + 3/x)^(x/2) is:

If z = (1 + i√3)²⁰, then arg(z) equals:

The derivative of e^(sin x) with respect to x is:

The integral of ∫ x e^x dx is: