Find `(dy)/(dx)` if, `tan^(-1)(x^2+y^2)=a`

Explanation

To find \(\frac{dy}{dx}\) given the equation \(\tan^{-1}(x^2 + y^2) = a\), we can follow these steps:

### Step 1: Take the tangent of both sides
We start by applying the tangent function to both sides of the equation:
\[ \tan(\tan^{-1}(x^2 + y^2)) = \tan(a) \]
This simplifies to:
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