Leg `f(x)=x^3+a x^2+b x+5sin^2x` be an increasing function on the set `Rdot` Then find the condition on `aa n dbdot`

Let f(x)=x^(3)+ax^(2)+bx+5 sin^(2)x be an increasing function on the set R. Then,

Let f(x)=x^(3)+kx^(2)+5x+4sin^(2)x be an increasing function on x in R. Then domain of k is

The function f(x)=x^3-3x^2-24x+5 is an increasing function in the interval

Let f (x) = x ^(3) + ax ^(2) + bx + 5 sin ^2 theta + c be can increasing function of x (theta is a parameter), Then, a and b satisfy the condition:

If g(x)=2x^(3)+lambda x^(2)+mu x+2sin^(2)(x) is increasing AA x in R, then

The function f(x)= [x(x-2)]^2 is increasing in the set

Let f (x) = ax+cos 2x +sin x+ cos x is defined for AA x in R and a in R and is strictely increasing function. If the range of a is [(m)/(n),oo), then find the minimum vlaue of (m- n).

The function f(x)=x^(2)+2x-5 is increasing in the interval