Check whether the function f given by f(x)=x100+sin x−1 strictly decreasing in the given interval.
(π2,π)
In interval (π2,π),cos x<0 and 100x99>0.Also,100x99>cos x ∴f′(x)>0 in (π2,π) Thus, function f is strictly increasing in interval (π2,π).
Check whether the function f given by f(x)=x100+sin x−1 strictly decreasing for the given interval. (0,π2)
On which of the following intervals is the function f given by f(x)=x100+sinx−1 strictly decreasing. a) (0,1)
b) (π2,π)
c) (0,π2) d) None of these
On which of the following intervals is the function f given by strictly decreasing?
(A) (B)
(C) (D) None of these