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Show that f(x) = 2x + sin(x) + cos(x) increases for all x belongs to R ! Please help !

Show that f(x) = 2x + sin(x) + cos(x) increases for all x belongs to R !


 


Please help !

Grade:12

1 Answers

Chetan Mandayam Nayakar
312 Points
11 years ago

d/(f(x)/dt=2+cosx-sinx,minimum of d(f(x))/dt is greater than zero for all real x because cosx-sinx is such that (cosx,sinx)=(-1,1) is impossible and -1=<(cosx,sinx)=<1

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