MathAnalysisCalculusNumerical functions

Convex functions

Theory

Convex function

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Which functions are convex on their whole domain?

1. f(x)=sin⁡x+cos⁡x+3f(x) = \sin{x} + \cos{x} + 3

2. f(x)=1−exf(x) = 1-e^{x}

3. f(x)=x3+x2+6xf(x) = x^3+x^2+6x

4.f(x)=20x−100f(x) = 20x-100

5. f(x)=20x+100f(x) = 20x+100

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