Hi
let g(x) =
where f is an increasing function. Then,
a. g{x} is an increasing function of x.
b. g{x} is an decreasing function of x.
c. g{x} is an increasing function of x>0 and decreasing for -10<x<10.
d. none of the above.
thanks
Hi
let g(x) =
where f is an increasing function. Then,
a. g{x} is an increasing function of x.
b. g{x} is an decreasing function of x.
c. g{x} is an increasing function of x>0 and decreasing for -10<x<10.
d. none of the above.
thanks
g ' (x) = x f '(x) (from 2d fundamental theorem)
since f(x) is increasing f ' (x) > 0
Therefore the answer is increasing if x > 0 and decreasing if x < 0
Are you sure c is Right it doesn't make sense seems it should read:
increasing x>0 and decrasing -10< x < 0
and if you conside Riemann integration,just like what Calculus26 said!