Let f(x) `={underset( 3 sin x " " x ge 0)(X^(3) +X^(2) -10X " " X lt0).` Examine the behaviour of f(x) at =0

Explanation

To examine the behavior of the function \( f(x) \) at \( x = 0 \), we need to analyze the left-hand derivative (LHD) and the right-hand derivative (RHD) of the function at that point.

### Step 1: Define the function
The function is defined as:
\[
f(x) =
\begin{cases}
3 \sin x & \text{if } x \geq 0 \\
...