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Diketahui turunan fungsi F(x) adalah F (x)=4x+4. Tentukan fungsi  jika F(2)=19.

Pertanyaan

Diketahui turunan fungsi begin mathsize 14px style F open parentheses x close parentheses end style adalah begin mathsize 14px style F apostrophe open parentheses x close parentheses equals 4 x plus 4 end style. Tentukan fungsi begin mathsize 14px style F open parentheses x close parentheses end style jika begin mathsize 14px style F open parentheses 2 close parentheses equals 19 end style.

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Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell F open parentheses x close parentheses end cell equals cell integral space F apostrophe open parentheses x close parentheses space d x end cell row blank equals cell integral space open parentheses 4 x plus 4 close parentheses space d x end cell row blank equals cell fraction numerator 4 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus 4 x plus c end cell row blank equals cell 2 x squared plus 4 x plus c end cell row blank blank blank row cell F open parentheses 2 close parentheses end cell equals cell 2 open parentheses 2 close parentheses squared plus 4 open parentheses 2 close parentheses plus c end cell row 19 equals cell 8 plus 8 plus c end cell row 19 equals cell 16 plus c end cell row blank rightwards double arrow cell c equals 3 end cell row blank blank blank row blank rightwards double arrow cell F open parentheses x close parentheses equals 2 x squared plus 4 x plus 3 end cell end table end style 

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