Applications Of Derivatives Mock Tests

The local minimum value of the function f(x) = x³ − 3x + 2 is:

The maximum value of f(x) = sin x + cos x, where x ∈ ℝ, is:

The function f(x) = 2x³ − 9x² + 12x + 5 is decreasing on the interval:

The approximate change in y = x² when x changes from 2 to 2.01 is:

The maximum value of f(x) = sin x + cos x, where x ∈ ℝ is:

The maximum value of f(x) = 2x³ − 24x + 10 in the interval [−2, 2] is:

The maximum value of z = 3x + 5y subject to the constraints x + y ≤ 4, x ≥ 0, y ≥ 0 is:

The function f(x) = x³ − 3x has a local maximum at x =: