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Question

Determine whether f(x)=x2+sinx is increasing or decreasing on (π3,π3).

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Solution

f(x)=x2+sinx

f(x)=12+cosx

π3<x<π3

32<cosx<32

32<cosx<1

312<cosx12<12

f(x)>0 & x(π3,π3)

f(x) is increasing on (π3,π3)

1415060_1660843_ans_9d0cb14a9aa147039d349408202bdef3.png

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