Question

Let \(f(xy) = f(x) \cdot f(y)\) for all \(x, y \in \mathbb{R}\). If \(f'(1) = 2\) and \(f(4) = 4\), then \(f'(4)\) equal to

• A. 2
• B. 4
• C. 8
• D. 16

Hint:

For \(f(xy)=f(x)f(y)\), often \(f(x)=x^k\) type functions satisfy the relation.

Answer 1

The Correct Option is D