The Total solution for NCERT class 6-12
Show that the function given by f(x)= sin x is
(c) neither increasing nor decreasing in (0, π)
The given function is f(x)= sin x.
(a) Since for each
we have
Hence, f isstrictly increasing in
(b) Since for each
Hence, f isstrictly decreasing in
(c) From the results obtained in (a) and(b), it is clear that f is neither increasing nor decreasingin (0, π).