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વિકલન

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ગણિત ધોરણ 11 સેમિસ્ટર 2

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ગણિત

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


અહીં, f (x) = sin x

હવે, x = 0 આગળ f નો વિકલિત,

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


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


equals space limit as straight h rightwards arrow 0 of space fraction numerator sin space straight h space minus space sin space 0 over denominator straight h end fraction


equals space limit as straight h rightwards arrow 0 of space fraction numerator sin space straight h space minus space 0 over denominator straight h end fraction


equals space limit as straight h rightwards arrow 0 of space space fraction numerator sin space straight h over denominator straight h end fraction space equals space bold 1


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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 :
1 over straight x space semicolon space x space equals space 1 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


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 spaceઆગળ


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