Mathematics · JEE | LIMITS AND DERIVATIVES

Find the derivative of \( f(x) = \frac{x^n - a^n}{x-a} \) for a constant \( a \) and integer \( n \), where \( x \neq a \).

1. A
   \( n x^{n-1} \)
2. B
   \( n a^{n-1} \)
3. C
   \( \frac{nx^{n-1} - a^n}{(x-a)^2} \)
4. D
   \( (n-1)x^{n-2} \)