Find the value of a for which the function `(a + 2)x^(3) - 3ax^(2) + 9ax - 1` decreases monotonically for all real x.

Find the interval in which the function y = 8x^(3) - 60x^(2) + 144 x + 27 is strictly decreasing

The value of x for which the polynomial 2x ^(3) - 9x ^(2) + 12 x + 4 is a decreasing function of x, is :

Find the interval of monotonicity of the function f(x) = |x - 1| //x^(2) .

Find the intervals in which the function f(x)=2x^3-24x+25 is increasing or decreasing.

Find the intervals in which the function f(x)=4x^3-6x^2-72x+30 is strictly decreasing.

Find the interval in which the function x^3-6x^2+9x+15 is increasing.

Find the derivative of the following functions 1/(ax^(2)+bx+c)

Find the intervals in which the function f(x)= 2x^3-15x^2+36x+1 is increasing

Find the intervals in which the function f given f(x)=2x^2-3x is Strictly Decreasing.

The values of 'a' for which the function f(x) = sin x - a sin 2x - (1)/(3) sin 3x + 2ax increases throughout the number line is