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# Whats the minima?

I have gotta some disputes regarding my problem. Can someone please help me out. I'm really strucked into it. Let a function $$f(x)$$ be defined From $$\mathbb{R}\rightarrow \mathbb{R}$$

$f(x)=x^{3}+3x^{2}+4x+b\sin(x)+c\cos(x)$

For all $$x~\epsilon ~\mathbb{R}$$, $$f(x)$$ is a One-to-One function.

Find the maximum value of $b^{2}+c^{2}$

Note by Rajat Bisht
1 year, 12 months ago

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You want $$3x^2+6x+4+b\cos x - c\sin x \ge 0$$ from derivative but that's about as far as I could go. · 1 year, 11 months ago

@Rajat Bisht see the comment I made on Calvin's dispute on the disputes page of your problem. · 1 year, 11 months ago

The answer is, as Calvin Lin points out, 607.6. This can be worked out only by numerical means. · 1 year, 11 months ago