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Maths-

General

Easy

Question

Let the function $f colon R rightwards arrow R$ be defined by $f open parentheses x close parentheses equals 2 x plus cos invisible function application x$ , then $f$

Has a minimum at $x = π$
Has a maximum at $x = 0$
Is decreasing on $R$
Is increasing function on $R$

The correct answer is: Is increasing function on $R$

We have,
$f open parentheses x close parentheses equals 2 x plus cos invisible function application x$

$rightwards double arrow f to the power of ´ end exponent open parentheses x close parentheses equals 2 minus sin invisible function application x greater than 0$ for all $x element of R$

$rightwards double arrow f left parenthesis x right parenthesis$ is an increasing function

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