Show that f(x) = x + cos x – a is an increasing function on R for all values of a ?
We have,
f(x) = x + cos x – a
Now,
x 
R
⇒ 
> 0
⇒ 
> 0
⇒ 
Hence,f(x) is an increasing function for x 
R
37
Show that f(x) = x + cos x – a is an increasing function on R for all values of a ?
We have,
f(x) = x + cos x – a
Now,
x R
⇒ > 0
⇒ > 0
⇒
Hence,f(x) is an increasing function for x R