Let the function f: R arrow R be defined by f(x)=2 x+ cos x. Then f is

Question

Let the function f: R arrow R be defined by f(x)=2 x+ cos x. Then f is (A) has maximum at x=0 (B) has minimum at x=π (C) is an increasing function (D) is a decreasing function

Tardigrade Admin · Accepted Answer

f(x)=2 x+ cos x f'(x)=2- sin x >0 f(x) is increasing function

Q. Let the function $f : R \to R$ be defined by $f (x) = 2 x + cos x$ . Then $f$ is

has maximum at $x = 0$

has minimum at $x = π$

is an increasing function

is a decreasing function

$f (x) = 2 x + cos x$
$f^{'} (x) = 2 - sin x > 0$
$f (x)$ is increasing function

Q. Let the function f:R→R be defined by f(x)=2x+cosx. Then f is

has maximum at x=0

has minimum at x=π