Flag Magical Mathematics[Interesting Approach]> Continuity and Differentiability...
question mark

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

Please help !

Sudheesh Singanamalla , 14 Years ago
Grade 12
anser 1 Answers
Chetan Mandayam Nayakar

Last Activity: 14 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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