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JIka diketahui fungsi maka nilai dari f(0) + 6f'(0) adalah ....

JIka diketahui fungsi begin mathsize 14px style straight f open parentheses straight x close parentheses equals fraction numerator 3 straight x squared minus 5 over denominator straight x plus 6 end fraction end style maka nilai dari f(0) + 6f'(0) adalah ....

  1. 2

  2. 1

  3. 0

  4. -1

  5. -2

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f left parenthesis x right parenthesis equals fraction numerator 3 x squared minus 5 over denominator x plus 6 end fraction u equals 3 x squared minus 5 comma space u apostrophe equals 6 x v equals x plus 6 comma space v apostrophe equals 1 f to the power of apostrophe open parentheses x close parentheses equals fraction numerator u apostrophe v minus u v apostrophe over denominator v squared end fraction space space space space space space space equals fraction numerator 6 x. open parentheses x plus 6 close parentheses minus open parentheses 3 x squared minus 5 close parentheses.1 over denominator open parentheses x plus 6 close parentheses squared end fraction space space space space space space space equals fraction numerator 6 x squared plus 36 x minus 3 x squared plus 5 over denominator open parentheses x plus 6 close parentheses squared end fraction space space space space space space space equals fraction numerator 3 x squared plus 36 x plus 5 over denominator open parentheses x plus 6 close parentheses squared end fraction  f left parenthesis 0 right parenthesis equals fraction numerator 3.0 squared minus 5 over denominator 0 plus 6 end fraction space space space space space space equals negative 5 over 6 space f to the power of apostrophe open parentheses 0 close parentheses equals fraction numerator 3.0 squared plus 36.0 plus 5 over denominator open parentheses 0 plus 6 close parentheses squared end fraction space space space space space space space equals 5 over 36  f open parentheses 0 close parentheses plus 6 f to the power of apostrophe open parentheses 0 close parentheses equals negative 5 over 6 plus 6 open parentheses 5 over 36 close parentheses equals 0

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