On the interval [0, 1] the function x^ 25 (1-x)^ 75 takes its maximum value at the point

MHT CET 2022 Mathematics question

On the interval [0, 1] the function takes its maximum value at the point

Answer: (C)

Let . Then . Critical points in are . for and for , so f increases then decreases

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-097164