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Math Help - How do you prove using differentiation?

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    How do you prove using differentiation?

    using differentiation prove that for every x in R on has
    cosx>or= 1-(x^2)/2
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by amm345 View Post
    using differentiation prove that for every x in R on has
    cosx>or= 1-(x^2)/2
    Let f(x)=\cos(x)+\frac{x^2}{2}-1. We have that f(0)=0 and f'(x)=x-\sin(x). But if g(x)=x-\sin(x) we see that g(0)=0 and g'(x)=1-\cos(x)\geqslant 0. Draw your conclusion.
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