JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

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Understanding +4 | -1

Which of the following function is decreasing on

\left(0, \frac{\pi}{2}\right)

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Correct option: C

\cos x

Option C (cos x) is correct because its derivative, -sin x, is negative in the interval (0, π/2), indicating a decreasing function.

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)