List of top Mathematics Questions on Increasing and Decreasing Functions asked in CUET (UG)

If $f(x) = x^2 + bx + 1$ is increasing in the interval $[1, 2]$, then the least value of $b$ is:

The interval in which the function \(f(x) = 10-6x-2x²\) is decreasing is:

The function \(f(x)=sinx+cosx,0\leq x\leq 2\pi \) is :

The interval in which the \(f(x) = sinx-cosx, 0 ≤ x ≤ 2π\) is strictly decreasing is :

The values of b for which the function f(x) = cos x + bx+ a decreases on R are

If the function \(f(x)=\frac{k \sin x+2\cos x}{\sin x+\cos x}\) is increasing for all values of x, then

If \(f(x)=-3x^2\), then f(x) is:

The interval on which the function \(f(x)=2x^3 +12x^2 +18x-7\) is decreasing, is:

The value of b for which the function f(x) = sinx - bx + C, where b and e are constants is decreasing for \(x \in R\) is given by

The function \(f(x) = x^2 - 2x\) is strictly decreasing in the interval.