Question:medium

The minimum value of f(x)=sin⁴x+cos⁴x in the interval (0,(π)/(2)) is:

Show Hint

Use symmetry of sine and cosine for extrema.

Updated On: Mar 18, 2026

\frac12
2
\sqrt2
1

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

0

Top Questions on Maxima and Minima

The maximum value of the function \( f(x) = -2x^2 + 4x + 1 \) occurs at:
- MHT CET - 2025
- Mathematics
- Maxima and Minima
View Solution
The absolute maximum value of $y = x^{3} - 3x + 2$, for $0 \leq x \leq 2$, is:
- CUET (UG) - 2025
- Mathematics
- Maxima and Minima
View Solution
Let \( \alpha_1 \) and \( \beta_1 \) be the distinct roots of \( 2x^2 + (\cos\theta)x - 1 = 0, \ \theta \in (0, 2\pi) \). If \( m \) and \( M \) are the minimum and the maximum values of \( \alpha_1 + \beta_1 \), then \( 16(M + m) \) equals:
- JEE Main - 2025
- Mathematics
- Maxima and Minima
View Solution
The slope of the curve \( y = -x^3 + 3x^2 + 8x - 20 \) is maximum at:
- CBSE Class XII - 2025
- Mathematics
- Maxima and Minima
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

BITSAT - 2025
Vector Algebra

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?

BITSAT - 2025
kinetic theory

A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?

BITSAT - 2025
Kinematics

Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?

BITSAT - 2025
Mechanics