Application of Derivatives
Global Maxima and Minima
JEE Main PYQ
Grade 12
Question:
The maximum value of $f(x) = x^3 - 3x^2 - 9x + 5$ on the interval $[-2, 4]$ equals _____.
Step-by-Step Solution
Key Concept: Locate all critical points of $f$ inside $(-2, 4)$ using $f'(x) = 0$, then compare the values of $f$ at these critical points with the values at the two endpoints $x = -2$ and $x = 4$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 10