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Asked by sanjaysingh.srct | 20 Aug, 2019, 19:30: PM
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f left parenthesis x right parenthesis equals open parentheses 2 minus x close parentheses to the power of 4 open parentheses x plus 2 close parentheses to the power of 5 rightwards double arrow f apostrophe left parenthesis x right parenthesis equals negative 4 open parentheses 2 minus x close parentheses cubed open parentheses x plus 2 close parentheses to the power of 5 plus 5 open parentheses x plus 2 close parentheses to the power of 4 open parentheses 2 minus x close parentheses to the power of 4 f apostrophe left parenthesis x right parenthesis equals open parentheses 2 minus x close parentheses cubed open parentheses x plus 2 close parentheses to the power of 4 open square brackets negative 4 left parenthesis x plus 2 right parenthesis plus 5 left parenthesis 2 minus x right parenthesis close square brackets equals open parentheses 2 minus x close parentheses cubed open parentheses x plus 2 close parentheses to the power of 4 open square brackets negative 9 x plus 2 close square brackets T a k e space f apostrophe left parenthesis x right parenthesis equals 0 rightwards double arrow open parentheses 2 minus x close parentheses cubed open parentheses x plus 2 close parentheses to the power of 4 open square brackets negative 9 x plus 2 close square brackets equals 0 rightwards double arrow x equals 2 comma space minus 2 comma space 2 over 9 A t space x equals 2 space o r space x equals negative 2 comma space f left parenthesis x right parenthesis equals 0 A t space x equals 2 over 9 comma f left parenthesis x right parenthesis equals open parentheses 2 minus 2 over 9 close parentheses to the power of 4 open parentheses 2 over 9 plus 2 close parentheses to the power of 5 equals open parentheses 16 over 9 close parentheses to the power of 4 open parentheses 20 over 9 close parentheses to the power of 5 almost equal to 541 H e n c e comma space t h e space m a x i m u m space v a l u e space i s space a t space x equals 2 over 9 space w h i c h space i s space 541
Answered by Renu Varma | 21 Aug, 2019, 10:21: AM

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