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 x, for which the function f(x)=x^(3)+12x^(2)+36x+6 is increasing.

Find the complete set of values of lambda, for which the function f(x)={x+1,x 1 is strictly increasing at x=1

The interval in which the function f(x)=x^(2)-3x+36 is strictly increasing, is :

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

Find the interval in which the function f(x)=5x^((3)/(2))-3x^((5)/(2)), x gt 0 is strictly decreasing.

Find the complete set of values of alpha for which the function f(x) = {(x+1,xlt1 alpha , x =1 , is strictly increasing x=1 x^(2)-x+3,xlt1