Show that the function f given by f(x) = sin x + cos x, is strictly decreasing in the interval (π/4, 5π/4).

Question

TextDecreasing Functions and Their PropertiesCBSE PYQ

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The function f(x) = x³ – 3x² + 12x – 18 is :

Find the intervals in which the function f(x) = log x/x is strictly increasing or strictly decreasing.

Increasing Functions and Their Properties

Decreasing Functions and Their Properties

Absolute Maximum and Absolute Minimum Values

Find the absolute maximum and absolute minimum values of the function f given by f(x) = x/2 + 2/x, on the interval [1, 2].

Find the interval in which the function f(x) = x⁴ – 4x³ + 10 is strictly decreasing.

If f(x) = a(x − cos x) is strictly decreasing in ℝ, then 'a' belongs to :

Show that the function f(x) = (16 sin x)/(4 + cos x) − x, is strictly decreasing in (π/2, π).