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વિકલન

વ્યાખ્યાની મદદથી નીચેના વિધેયના આપેલ બિંદુએ વિકલિત શોધો :
$1 over straight x space semicolon space x space equals space 1$ આગળ

અહીં, f (x) = $1 over straight x$

હવે, x = 1 આગળ f નો વિકલિત,

$straight f apostrophe space open parentheses 1 close parentheses space equals space limit as straight h rightwards arrow 0 of space fraction numerator straight f space open parentheses 1 space plus space straight h close parentheses space minus space straight f space open parentheses 1 close parentheses over denominator straight h end fraction$

$equals space limit as straight h rightwards arrow 0 of space space fraction numerator begin display style fraction numerator 1 over denominator 1 space plus space straight h end fraction end style space minus space begin display style 1 over 1 end style over denominator straight h end fraction equals space limit as straight h rightwards arrow 0 of space fraction numerator 1 space minus space open parentheses 1 space plus space straight h close parentheses over denominator straight h space open parentheses 1 space plus space straight h close parentheses end fraction equals space limit as straight h rightwards arrow 0 of space fraction numerator negative straight h over denominator straight h space open parentheses 1 space plus space 4 close parentheses end fraction equals space limit as straight h rightwards arrow 0 of space space fraction numerator negative 1 over denominator 1 space plus space straight h end fraction equals space fraction numerator negative 1 over denominator 1 space plus space 0 end fraction equals space bold minus bold space bold 1$

વ્યાખ્યાની મદદથી નીચેના વિધેયના આપેલ બિંદુએ વિકલિત શોધો :

$3 straight x squared space minus space 2 straight x space plus space 1 space semicolon space straight x space equals space minus 1 space$ આગળ

વ્યાખ્યાની મદદથી નીચેના વિધેયના આપેલ બિંદુએ વિકલિત શોધો :

$cos space x space semicolon space x space equals space straight pi over 2$ આગળ

વ્યાખ્યાની મદદથી નીચેના વિધેયના આપેલ બિંદુએ વિકલિત શોધો :
sin x ; x = 0 આગળ

વ્યાખ્યાની મદદથી નીચેના વિધેયના આપેલ બિંદુએ વિકલિત શોધો :

$fraction numerator 3 straight x space plus space 2 over denominator 2 straight x space plus space 3 end fraction space semicolon space x space equals space 1$ આગળ

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