Question

prove that the f(x) = x - cos x is increasing on R​

Answer 1

Answer:YES IT IS INCREASING

Step-by-step explanation:Given,

f(x)=x+cosx−a.

Now,

f  

′

(x)

=1−sinx.

Since −1≤sinx≤1 then we've,

1−sinx≥0 for all x∈R.

So, f  

′

(x)≥0 for all x∈R.

Hence the function is increasing on R for all values of a.