Differential Equations
Differential Equations
Allen Star Batch
Grade 12
Question:
If $f'(x) < 2f(x)$ where $f: \left[\frac{1}{2}, 1\right] \to R$ such that $f\left(\frac{1}{2}\right) = 2e$ then maximum value of $f(\ln 2)$ is ____.
Step-by-Step Solution
Given $f'(x) 0$ preserves the inequality direction, and fail to recognize that this creates a derivative of a product.
Correct Answer: 8