Applications of...

For which value of x, the function f(x) = x² – 2x is decreasing

The values of ‘a’ for which the function (a + 2)x³ – 3ax² + 9ax – 1 decreases monotonically throughout for all real x, are

For all real values of x, increasing function f(x) is

The function f(x) = 1 – e^–x2/2 is

The function f(x) = 1 – x³ – x⁵ is decreasing for

For the function f(x) = e^{x, a = 0, b = 1, the value of c in mean value theorem will be}