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f-x-3-x-gt-2-2x-x-2-f-2-1-ise-f-1-f-3-czm-f-x-3x-c-2-x-gt-2-x-2-c-1-x-2-f-2-x-2-c-1-dir-1-4-c-1-gt-c-1-3-1-2-3-c-2-gt-c-2-5-f-x-3x-5-x-gt-2

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Question Number 11899 by ahmet last updated on 04/Apr/17
f′(x)={_(3 ;x>2) ^(2x ; x≤2) f(2)=1 ise f(1)+f(3)=? czm∵ f(x)={_(3x+c_2 ; x>2) ^(x^2 +c_1 ;x≤2) f(2)=x^2 +c_1 dir 1=4+c_1 => c_1 =−3 1=2.3+c_2 => c_2 =−5 f(x)={_(3x−5 x>2) ^(x^2 −3 ;x≤2) f(1)=1^2 −3=−2, f(3)=3.3−5=4 f(1)+f(3)=−2+4=2
f′(x)={3;x>22x;x⩽2f(2)=1isef(1)+f(3)=?czm∵f(x)={3x+c2;x>2x2+c1;x⩽2f(2)=x2+c1dir1=4+c1=>c1=−31=2.3+c2=>c2=−5f(x)={3x−5x>2x2−3;x⩽2f(1)=12−3=−2,f(3)=3.3−5=4f(1)+f(3)=−2+4=2

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