Question Id : 17939 |
Context : JEE Main 2026 (22 January Morning Shift)
Let $f(x) = x^{2025} - x^{2000},; x \in [0,1]$ and maximum value of the function $f(x)$ in the interval $[0,1]$ be $\left(\frac{80}{81}\right)^{n}$, then $n$ is equal to:
🎥 Video solution / Text Solution of this question is given below:
$f(x) = x^{2025} - x^{2000}$
$f'(x) = 0 \Rightarrow x = \left(\frac{2000}{2025}\right)^{1/25} = \alpha$