Question

The function \( y=\frac{\log x}{x^3} \) is strictly increasing function for

• A. \( 0<x<e^{\frac{1}{3}} \)
• B. \( x>e^{\frac{1}{3}} \)
• C. \( x<2 \)
• D. \( x<e^{\frac{1}{3}} \)

Hint:

For functions of type \( \frac{\log x}{x^n} \), simplify derivative firstAlways separate numerator sign from denominator for inequality solving.

Answer 1

The Correct Option is A