If function `f` satisfies the relation `f(x)*f^(prime)(-x)=f(-x)*f^(prime)(x)for a l lx ,a n df(0)=3,a n dif f(3)=3,` then the value of `f(-3)` is ______________

Explanation

To solve the problem step by step, we will follow the reasoning laid out in the video transcript.

### Step 1: Understand the given relation
We start with the relation provided in the question:
\[ f(x) \cdot f'(-x) = f(-x) \cdot f'(x) \]

### Step 2: Differentiate the relation
We recognize that the given relation can be viewed as a product of functions. We can differentiate both sides with respect to \( x \):
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