Question

Choose the most appropriate option. If \(y = a^b x\), then

• A. \(y_n = a^b x (\log_e b)^{n-1}\)
• B. \(y_n = (-1)^n a^b x (\log_e b)^n\)
• C. \(y_n = a^{n+1} b^m (\log_e b)^n\)
• D. \(y_n = a^b x (\log_e b)^n\)

Hint:

In logarithmic expressions, carefully apply the appropriate base and powers to ensure the correct formula is used.

Answer 1

The Correct Option is D

The expression is \(y_n = a^b x (\log_e b)^n\), where \(b\) is the base of the logarithm and the formula represents the rate of change with respect to \(n\).