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Find the turning value of the following functions, distinguishing in each case whether the value is a maximum minimum or inflextional 1. 4x^3 + 19x^2 - 14x +3  
Asked by sajithasuresh583 | 06 Jul, 2019, 01:10: PM
answered-by-expert Expert Answer
f left parenthesis x right parenthesis equals 4 x cubed plus 19 x squared minus 14 x plus 3 f apostrophe left parenthesis x right parenthesis equals 12 x squared plus 38 x minus 14 T o space f i n d space m a x i m a divided by m i n i m a divided by i n f l e c t i o n space p o i n t T a k e space f apostrophe left parenthesis x right parenthesis equals 0 rightwards double arrow 12 x squared plus 38 x minus 14 equals 0 rightwards double arrow x equals 1 third space space o r space space x equals negative 7 over 2 f apostrophe apostrophe left parenthesis x right parenthesis equals 24 x plus 38 f apostrophe apostrophe left parenthesis x right parenthesis equals 0 rightwards double arrow x equals negative 19 over 2 f apostrophe apostrophe open parentheses 1 third close parentheses greater than 0 rightwards double arrow x equals 1 third space i s space m i n i m a f apostrophe apostrophe open parentheses negative 7 over 2 close parentheses less than 0 rightwards double arrow x equals negative 7 over 2 space i s space m a x i m a x equals negative 19 over 2 space i s space i n f l e c t i o n space p o i n t
Answered by Renu Varma | 09 Jul, 2019, 10:09: AM

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