Derivatives Of Functions In Parametric Forms

Step 1: Understanding the Question:
The question involves parametric equations with inverse trigonometric exponents. We need to find the derivative .

Step 2: Key Formula or Approach:
Recall the identity: .

Step 3: Detailed Explanation:
Square both given equations:
and .
Multiply the two results: Since is a constant, differentiate both sides with respect to : Since :

Step 4: Final Answer:
The derivative is .