JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

a < 0, f(x)=e^{a x}+e^{-a x}

and

S=\{x: f(x)

is monotonically increasing

\}

, then

S

equals

View answer and explanation

Correct option: A

\{x: x > 0\}

The correct answer is A ({x: x > 0}) because the condition for

f(x)

to be monotonically increasing, given

a < 0

, leads to

x > 0

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