Find the value of a for which the function `f(x) =x^(2)-2ax+6,x gt 0` is strictly increasing.

Find the values of x for which the function f(x)= x^(3)-6x^(2)-36x+ 7 is strictly increasing.

Find the values of x for which function f(x)= 2x^(3)-6x^(2) + 6x+24 is strictly increasing.

Find the values of 'a' for which the function : f(x)=x^(2)-2ax+6 is increasing when x gt 0 .

Find the values of 'a for which the function : f(x) = x^2 - 2ax + 6 is increasing when x > 0

Find the least value of a so that the function f(x) = x^2 + ax + 1 is strictly increasing on (1, 2).

Find the intervals in which the function f(x) = 2x^2-3x is strictly increasing.

Find the intervals in which the function : f (x) = 20 - 9x + 6x^2 - x^3 is strictly increasing.

Find the intervals on which the function f(x) = 10 - 6x - 2x^(2) is (a) strictly increasing (b) strictly decreasing.