Derivative inequality

Calculus Level 2

Let p ( x ) p(x) be a polynomial with real coefficients. If p ( x ) − p ′ ( x ) − p ′ ′ ( x ) + p ′ ′ ′ ( x ) ≥ 0 p(x)-p'(x)-p''(x)+p'''(x)\geq0 for every real x x , then which of the following options is true?

p ( x ) ≥ 0 p(x)\geq0 for all real x x p ( x ) < 0 p(x)<0 for all real x x

Danish Ahmed by Danish Ahmed , 24, India

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1 solution

Lu Ca
Oct 28, 2020

Beautiful explanation here

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