Page 68 - DECO403_MATHEMATICS_FOR_ECONOMISTS_ENGLISH

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)8EC <9= 9C 1 49665B5>D91< 3?5669395>D ?B 45B9F1D9F5 ?6 G9D8 B5C@53D D? )? 1F?94 1>I 4?E2D

G9D8 B5C@53D D? 9>45@5>45>D F1B912<5C D85 49665B5>D91< 3?5669395>D ?B 45B9F1D9F5 G9D8 B5C@53D D? 9C

GB9DD5> 1C <9= )89C G1I D85 @B?35CC ?6 ;>?G9>7 D85 <9=9D 9C ;>?G> 1C 49665B5>D91D9?>

?B 9> ?D85B G?B4C =5D8?4 ?6 31<3E<1D9>7 D85 49665B5>D91< 3?5669395>D ?6 1>I @B?4E3D 9C B565BB54 1C
9665B5>D91D9?>

Did u know? <9=

(DE45>DC =ECD E>45BCD1>4 D85 49665B5>35 ?6 <9= F5BI 31B56E<<I 9C 1 49F9C9?> 6?B G8938

#E=5B1D?B 1>4 45>?=9>1D?B 31> 25 C5@1B1D54 6B?= 5138 ?D85B 2ED 9C >?D 1 49F9C9?> 2ED ?><I 1

CI=2?< D? C8?G D85 <9=9D9>7 F1<E5 ?6 31> >?D 25 C5@1B1D54 6B?= D G?E<4 25 9>3?BB53D D?

B514 9D 1C E@?> 9C B514 1C / ?6 1>4 1C 81F5 255> D?<4 51B<95B D89C =51>C ?B

49665B5>D91< 3?5669395>D ?6 G9D8 B5C@53D D?

236;6@6<;

6 9C D85 6E>3D9?> ?6 1>4 D85 C1=5 6E>3D9?> ?6 9C D85> <9=9D9>7 F1<E5 9C

<9= 6?B D85 49665B5>D91< 3?5669395>D G9D8 B5C@53D D? 5>5B1<<I 49665B5>D91<

3?5669395>D 9C CI=2?<9J54 G9D8 5D3 The method of calculating

differential coefficient is referred as differentiating the function.
)8EC G5 31> C55 D81D D85B5 1B5 6?EB CD5@C 6?B 31<3E<1D9>7 49665B5>D91< 3?5669395>D
6>?@ ?@2= 381>79>7 9>D? 1>4 45D5B=9>9>7 H
%20<;1 ?@2= 45D5B=9>9>7 49665B5>35 ?6 H N

&56>1 ?@2= 49F949>7 49665B5>35 2I 1>4 45D5B=9>9>7

<A>@5 ?@2= G85> 1@@B?1385C D?G1B4C . '$ D85> 45D5B=9>9>7 D85 <9=9D9>7 F1<E5 ?6 B1D9?
85B5 ?>G1B4C 9>3B5=5>D1< F1<E5 ?6 G?E<4 25 B5@<1354 G9D8 C? D81D CDE45>DC C8?E<4 >?D 75D

3?>6EC54 G9D8 1>4 )8EC 96 9C D85 @B?4E3D ?6 D85> <9= 9C D85 49665B5>D91<

3?5669395>D ?6 D >554C D? 25 B5=5=25B54 D81D 12?F5 5H@B5CC9?> 9C 3?>C945B54 1C D85 @B?4E3D ?6
9 5 9C F1B912<5 1>4 9C 3?>CD1>D

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