If all the real values of m for which the function `f(x)=(x^(3))/(3)-(m-3)(x^(2))/(2)+mx-2013` is strictly increasing in `x in[0,oo)` is `[0, k]`,then the value of k is,

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

The function f(x)=x^(3)+6x^(2)+(9+2k)x+1 is strictly increasing for all x if

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

Determine for what values of x, the function f(x)=x^(3)+(1)/(x^(3))(x!=0) is strictly increasing or strictly decreasing.

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

The sum of all integral values of a , a in[1,10] for which f(x)=x^(3)-3x^(2)+ax+2cos x is strictly increasing

Find the values of a for which the function f(x)=(a+2)x^(3)-3ax^(2)+9ax-a decreasing for all real values of x.

The value of k for which the function f(x)={(sin3x)/(x), if x!=0, k if x=0 is continuous at x=0 is

Find the values 'a' for which the function f(x)=(a+2)x^(3)-3ax^(2)+9ax-1 decreases for all real values of x

If m is the minimum value of k for which the function f(x)=xsqrt(kx-x^(2)) is increasing in the interval [0,3] and M is the maximum value of f in the inverval [0,3] when k=m, then the ordered pair (m,M) is equal to (a) (4,3sqrt(2)) (b) (4,3sqrt(3)) (c) (3,3sqrt(3)) (d) (5,3sqrt(6))