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Find derivative of y=x-sinx...

Find derivative of `y=x-sinx`

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We have `y=f(x)=x-sinx`
`rArr f^(')(x) = 1-cosx`
Now, `f(x) gt 0, AA x` except at `x=0, +-2pi, +-4pi` etc.
`f(x)=0` for `x=0, +-2pi, +-4pi`
Also when `x to infty, f(x) to infty` and when `x to infty, f(x) to -infty`.
Hence, the graph of the function `y=f(x)` is as shown in the following figure.
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