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Turunan pertama fungsi f ( x ) = 2 x 2 S in ( x – 1 ) adalah …

Turunan pertama fungsi adalah …

  1. 4 x space sin left parenthesis x plus 1 right parenthesis plus 2 x squared cos left parenthesis x plus 1 right parenthesis

  2. 2 x space sin left parenthesis x minus 1 right parenthesis plus 4 x squared cos left parenthesis x minus 1 right parenthesis

  3. 4 x space sin left parenthesis x minus 1 right parenthesis plus 4 x squared cos left parenthesis x minus 1 right parenthesis

  4. 2 x space sin left parenthesis x minus 1 right parenthesis plus 2 x squared cos left parenthesis x minus 1 right parenthesis

  5. 4 x space sin left parenthesis x minus 1 right parenthesis plus 2 x squared cos left parenthesis x minus 1 right parenthesis

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Pembahasan

straight f left parenthesis straight x right parenthesis space equals space straight u. straight v straight f apostrophe left parenthesis straight x right parenthesis space equals space straight u apostrophe straight v plus uv apostrophe  straight u equals 2 straight x squared rightwards arrow straight u apostrophe equals 4 straight x straight v equals sin left parenthesis straight x minus 1 right parenthesis rightwards arrow straight v apostrophe equals cos left parenthesis straight x minus 1 right parenthesis straight f apostrophe left parenthesis straight x right parenthesis equals 4 straight x space sin left parenthesis straight x minus 1 right parenthesis plus 2 straight x squared space cos left parenthesis straight x minus 1 right parenthesis

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