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Carilah turunan pertama, kedua dan ketiga dari: b. y = x ( 4 + a ) ( 4 + b ) x

Carilah turunan pertama, kedua dan ketiga dari:

b.  

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begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell x to the power of left parenthesis 4 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x y apostrophe equals left parenthesis 4 plus a right parenthesis times x to the power of left parenthesis 3 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x plus x to the power of left parenthesis 4 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x ln left parenthesis 4 plus b right parenthesis end cell row blank equals cell left parenthesis 4 plus a right parenthesis times x to the power of left parenthesis 3 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x plus ln left parenthesis 4 plus b right parenthesis times x to the power of left parenthesis 4 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x end cell row blank blank blank row cell y " end cell equals cell left square bracket left parenthesis 4 plus a right parenthesis times left parenthesis 3 plus a right parenthesis times x to the power of left parenthesis 2 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x plus left parenthesis 4 plus a right parenthesis times x to the power of left parenthesis 3 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x ln left parenthesis 4 plus b right parenthesis right square bracket plus end cell row blank blank cell space left square bracket ln left parenthesis 4 plus b right parenthesis times left parenthesis 4 plus a right parenthesis times x to the power of left parenthesis 3 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x plus ln left parenthesis 4 plus b right parenthesis times x to the power of left parenthesis 4 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x ln left parenthesis 4 plus b right parenthesis right square bracket end cell row blank equals cell left square bracket open parentheses 12 plus 7 a plus a squared close parentheses x to the power of left parenthesis 2 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x plus ln left parenthesis 4 plus b right parenthesis left parenthesis 4 plus a right parenthesis x to the power of left parenthesis 3 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x right square bracket plus end cell row blank blank cell left square bracket ln left parenthesis 4 plus b right parenthesis left parenthesis 4 plus a right parenthesis x to the power of left parenthesis 3 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x plus open parentheses ln open parentheses 4 plus b close parentheses close parentheses squared x to the power of left parenthesis 4 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x right square bracket end cell row blank equals cell left parenthesis 12 plus 7 a plus a squared right parenthesis x to the power of left parenthesis 2 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x plus 2 ln left parenthesis 4 plus b right parenthesis left parenthesis 4 plus a right parenthesis x to the power of left parenthesis 3 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x plus end cell row blank blank cell left parenthesis ln left parenthesis 4 plus b right parenthesis right parenthesis squared x to the power of left parenthesis 4 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x end cell row blank blank blank row cell y apostrophe apostrophe apostrophe end cell equals cell left square bracket left parenthesis 12 plus 7 a plus a squared right parenthesis times left parenthesis 2 plus a right parenthesis times x to the power of open parentheses 1 plus a close parentheses end exponent times left parenthesis 4 plus b right parenthesis to the power of x plus left parenthesis 12 plus 7 a plus a squared right parenthesis x to the power of left parenthesis 2 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x ln open parentheses 4 plus b close parentheses right square bracket end cell row blank blank cell plus left square bracket 2 ln left parenthesis 4 plus b right parenthesis left parenthesis 4 plus a right parenthesis times left parenthesis 3 plus a right parenthesis times x to the power of open parentheses 2 plus a close parentheses end exponent times left parenthesis 4 plus b right parenthesis to the power of x plus 2 ln left parenthesis 4 plus b right parenthesis left parenthesis 4 plus a right parenthesis x to the power of left parenthesis 3 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x ln left parenthesis 4 plus b right parenthesis right square bracket end cell row blank blank cell left square bracket left parenthesis ln left parenthesis 4 plus b right parenthesis right parenthesis squared times open parentheses 4 plus a close parentheses x to the power of left parenthesis 3 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x plus left parenthesis ln left parenthesis 4 plus b right parenthesis right parenthesis squared x to the power of left parenthesis 4 plus a right parenthesis end exponent times left parenthesis 4 plus b right parenthesis to the power of x times ln open parentheses 4 plus b close parentheses right square bracket end cell row blank equals cell open parentheses a cubed plus 9 a squared plus 26 a plus 24 close parentheses x to the power of left parenthesis 1 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x plus left parenthesis 12 plus 7 a plus a squared right parenthesis ln left parenthesis 4 plus b right parenthesis x to the power of left parenthesis 2 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x end cell row blank blank cell plus 2 ln open parentheses 4 plus b close parentheses open parentheses 12 plus 7 a plus a squared close parentheses x to the power of left parenthesis 2 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x plus 2 open parentheses ln left parenthesis 4 plus b right parenthesis close parentheses squared left parenthesis 4 plus a right parenthesis x to the power of open parentheses 3 plus a close parentheses end exponent left parenthesis 4 plus b right parenthesis to the power of x end cell row blank blank cell plus left parenthesis ln left parenthesis 4 plus b right parenthesis right parenthesis squared left parenthesis 4 plus a right parenthesis x to the power of left parenthesis 3 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x plus left parenthesis ln left parenthesis 4 plus b right parenthesis right parenthesis cubed x to the power of left parenthesis 4 plus a right parenthesis end exponent left parenthesis 4 plus b right parenthesis to the power of x end cell row blank blank blank end table end style  

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