List of top Mathematics Questions on Differential Calculus asked in KSEAB Class XII

The point of inflection of the function $f(x)=x^3$ in the interval $[-1,1]$ is
The derivative of $\sin^{-1}x$ exists in the interval
The left hand derivative of $|x|$ with respect to $x$ at $x=0$ is
If $m$ and $n$ are respectively the order and degree of the differential equation $2x^2\dfrac{d^2y}{dx^2}-3\dfrac{dy}{dx}+y=0$, then $m+n=$
Statement I: The function $f(x)=x^2$ is decreasing in the interval $(0,\infty)$.
Statement II: Any function $y=f(x)$ is decreasing if $\dfrac{dy}{dx}& Lt;0$.
Which of the following is correct?
If $x-y=\pi$, then $\dfrac{dy}{dx}$ is
The minimum value of $f(x)=|x|,\; x\in \mathbb{R}$ is