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The equation you provided is:

\[
z = e^{x^2} \cdot \tan^{-1}(y^2)
\]

Would you like to:

1. Differentiate \( z \) with respect to \( x \) or \( y \)?
2. Simplify the equation further?
3. Evaluate for specific values of \( x \) and \( y \)?
4. Explore its applications in calculus or other fields?
5. Understand the properties of inverse tangent and exponential functions in this context?

One tip: When differentiating functions involving inverse trigonometric functions like \(\tan^{-1}\), it's important to use the chain rule carefully.

Let me know if you would like more details or assistance!

Explore the properties of the function z = e^(x^2) * tan^(-1)(y^2). This problem involves exponential and inverse trigonometric functions, and uses chain and product rules for differentiation. Perfect for students studying undergraduate calculus.

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