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Question Number 153395 by Rankut last updated on 07/Sep/21

given that  f(x)=4x^3 −48x. find   the stationary point of f(x)

$${given}\:{that}\:\:{f}\left({x}\right)=\mathrm{4}{x}^{\mathrm{3}} −\mathrm{48}{x}.\:{find}\: \\ $$$${the}\:{stationary}\:{point}\:{of}\:{f}\left({x}\right) \\ $$

Answered by puissant last updated on 07/Sep/21

(∂/∂x)f(x)=0 ⇒ 12x^2 −48=0  ⇒ x^2 =4 ⇒ x=±2..

$$\frac{\partial}{\partial{x}}{f}\left({x}\right)=\mathrm{0}\:\Rightarrow\:\mathrm{12}{x}^{\mathrm{2}} −\mathrm{48}=\mathrm{0} \\ $$$$\Rightarrow\:{x}^{\mathrm{2}} =\mathrm{4}\:\Rightarrow\:{x}=\pm\mathrm{2}.. \\ $$

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