Logarithmic Differentiation

We are asked to differentiate . Using properties of logarithms, we know that and , so the expression simplifies to . Differentiating this constant gives: Thus, the correct answer is option (D) 0.

We are asked to differentiate . Using the logarithmic property , we can rewrite the expression as: Now, differentiating with respect to gives: Thus, the correct answer is option (C) .