Let f(x)=x²⁰²⁵-x²⁰⁰⁰, x∈[0,1] and the minimum value of the functi… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Let $f(x)=x^{2025}-x^{2000},\quad x\in[0,1]$ and the minimum value of the function $f(x)$ in the interval $[0,1]$ be $(80)^{80}(n)^{-81}.$ Then $n$ is equal to

A
$-40$
B
$-81$
C
$-80$
D
$-41$

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