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Let f be the function f(x)=cosx-(1-(x^2)...

Let `f` be the function `f(x)=cosx-(1-(x^2)/2)dot` Then (a) `f(x)` is an increasing function in `(0,oo)` (b) `f(x)` is a decreasing function in `(-oo,oo)` (c) `f(x)` is an increasing function in `(-oo,oo)` (d) `f(x)` is a decreasing function in `(-oo,0)`

A

f(x) is an increasing function in `(0,oo)`

B

f(X) is a decresing function in `(-oo,oo)`

C

f(X) is an increasing function in `(-oo,oo)`

D

f(x) is a decreasing function in `(-oo,0)`

Text Solution

Verified by Experts

The correct Answer is:
1,4
f(x) =`cos x -(1-(x^(2))/(2))`
`therefore f(x)=-sin x+x`
`sinx lt x if x gt 0 and sinx gt x if x lt 0`
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