Given P(x)""=""x^4+""a x^3+""c x""+""dsuch that x""=""0is the only | Filo
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class 12

Math

Calculus

Application of Derivatives

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Given such that is the only real root of \displaystyle{P}'{\left({x}\right)}\text{}=\text{}{0}.\text{}{I}{f}\text{}{P}

  1. ""<""P(1)[1,""1]\displaystyle.{\left({1}\right)}{P}{\left({1}\right)}{i}{s}{t}{h}{e}\min{i}\mu{m}{\quad\text{and}\quad}{P}{\left({1}\right)}{i}{s}{t}{h}{e}\max{i}\mu{m}{o}{f}{P}|{\left|{P}{\left({1}\right)}{i}{s}\neg\min{i}\mu{m}{b}{u}{t}{P}{\left({1}\right)}{i}{s}{t}{h}{e}\max{i}\mu{m}{o}{f}{P}|{\left|{P}{\left({1}\right)}{i}{s}{t}{h}{e}\min{i}\mu{m}{b}{u}{t}{P}{\left({1}\right)}{i}{s}\neg{t}{h}{e}\max{i}\mu{m}{o}{f}{P}|{\left|\ne{i}{t}{h}{e}{r}{P}{\left({1}\right)}{i}{s}{t}{h}{e}\min{i}\mu{m}{n}{\quad\text{or}\quad}{P}{\left({1}\right)}{i}{s}{t}{h}{e}\max{i}\mu{m}{o}{f}{P}\right.}\right.}\right.}
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integrals
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application of derivatives