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

The interval in which $y=x^{2} e^{-x}$ is increasing is

Let $f(x)=x^{13}+x^{11}+x^{9}+x^{7}+x^{5}+x^{3}+x+19$. Then, $f(x)=0$ has

For what values of $x$ is the function $f(x) = x^4 - 4x^3 + 4x^2 + 40$ monotonically decreasing?

The derivative of the function $f(x) = \cos^4 x + \sin^4 x$ for $0 \le x \le 2\pi$ is positive for:

If the tangent drawn to the curve $y=x^3-ax^2+x+1$ at each point $x \in R$ is inclined at an acute angle with the positive direction of the $X$-axis,then the set of all possible values of '$a$' is