Pertanyaan

Persamaan garis singgung yang menyinggung garis y = cos 2 x di titik berabsis x = 8 π ,akan memotong kurva di nilai x yang memenuhi persamaan…

Persamaan garis singgung yang menyinggung garis $y = cos 2 x$ di titik berabsis $x = \frac{π}{8}$ , akan memotong kurva di nilai x yang memenuhi persamaan…

$sin invisible function application 2 x plus square root of 2 x plus fraction numerator square root of 2 over denominator 8 end fraction pi plus 1 half square root of 2 equals 0$
$sin invisible function application 2 x minus square root of 2 x minus fraction numerator square root of 2 over denominator 8 end fraction pi minus 1 half square root of 2 equals 0$
$sin invisible function application 2 x plus square root of 2 x minus fraction numerator square root of 2 over denominator 8 end fraction pi minus 1 half square root of 2 equals 0$
$cos invisible function application 2 x plus square root of 2 x minus fraction numerator square root of 2 over denominator 8 end fraction pi minus 1 half square root of 2 equals 0$
$cos invisible function application 2 x minus square root of 2 x minus fraction numerator square root of 2 over denominator 8 end fraction pi minus 1 half square root of 2 equals 0$

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Klaim

N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

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Pembahasan

$begin mathsize 12px style f open parentheses x close parentheses equals cos invisible function application 2 x f open parentheses pi over 8 close parentheses equals cos invisible function application 2 open parentheses pi over 8 close parentheses equals 1 half square root of 2 S e h i n g g a space t i t i k space sin g g u n g n y a space a d a l a h space open parentheses pi over 8 comma 1 half square root of 2 close parentheses f to the power of apostrophe open parentheses x close parentheses equals negative 2 sin invisible function application 2 x S e h i n g g a space m equals f to the power of apostrophe open parentheses pi over 8 close parentheses equals negative 2 sin invisible function application 2 open parentheses pi over 8 close parentheses equals negative square root of 2 S e h i n g g a space p e r s a m a a n space g a r i s space sin g g u n g n y a space a d a l a h y minus 1 half square root of 2 equals negative square root of 2 open parentheses x minus pi over 8 close parentheses y equals negative square root of 2 x plus fraction numerator square root of 2 over denominator 8 end fraction pi plus 1 half square root of 2 U n t u k space m e n c a r i space t i t i k space p o t o n g space a n t a r a space g a r i s space sin g g u n g space d e n g a n space k u r v a y equals y cos invisible function application 2 x equals negative square root of 2 x plus fraction numerator square root of 2 over denominator 8 end fraction pi plus 1 half square root of 2 cos invisible function application 2 x plus square root of 2 x minus fraction numerator square root of 2 over denominator 8 end fraction pi minus 1 half square root of 2 equals 0 end style$