Question:medium
If \( y = m\log x + nx^2 + x \) has its extreme values at \( x = 2 \) and \( x = 1 \), then \( 2m + 10n = \)
If \( y = m\log x + nx^2 + x \) has its extreme values at \( x = 2 \) and \( x = 1 \), then \( 2m + 10n = \)
Show Hint
For extrema problems, always use derivative = 0 and form equations using given points.
Updated On: May 8, 2026
- \( -1 \)
- \( -4 \)
- \( -2 \)
- \( 1 \)
- \( -3 \)
Show Solution
The Correct Option is
Solution and Explanation
Was this answer helpful?
0
Top Questions on Maxima and Minima
Define \( f(x) = \begin{cases} x^2 + bx + c, & x< 1 \\ x, & x \geq 1 \end{cases} \). If f(x) is differentiable at x=1, then b−c is equal to
- MHT CET - 2024
- Mathematics
- Maxima and Minima
- The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:
- MHT CET - 2025
- Mathematics
- Maxima and Minima
- Let $ f(x) = |x^2 - 4x + 3| + |x^2 - 5x + 6| $. The minimum value of $ f(x) $ is:
- BITSAT - 2025
- Mathematics
- Maxima and Minima
- Determine the number of units (\( x \)) that should be sold to maximise the revenue \( R(x) = x \cdot p(x) \). Also verify the result.
- CBSE Class XII - 2024
- Mathematics
- Maxima and Minima
- Want to practice more? Try solving extra ecology questions todayView All Questions
