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Question

Let f(x)=sinx+ex+x, then which of the following(s) is(are) true about f(x)

A
increasing for all x<0
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B
decreasing for all xR{0}
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C
increasing at x=0
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D
neither increasing nor decreasing at x=0
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Solution

The correct option is C increasing at x=0
Given: f(x)=sinx+ex+x
f(x)=cosx+ex+1>0 xR
(1+cosx0,ex>0, xR)
f(x) is increasing for all xR.

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