Pertanyaan

Jika f ( x ) = 8 tan x untuk 8 π < x < 4 π , maka f'(x) = ...

Jika $f (x) = 8 tan x$ untuk $\frac{π}{8} < x < \frac{π}{4}$ , maka f'(x) = ...

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Klaim

N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Pembahasan

maka Ingat untuk maka

maka

$straight f apostrophe open parentheses straight x close parentheses equals 8 space open parentheses fraction numerator 1 over denominator cos squared space straight x end fraction close parentheses equals 8 open parentheses fraction numerator 1 over denominator 1 minus sin squared space straight x end fraction close parentheses$

Ingat $straight S subscript infinity equals fraction numerator 1 over denominator 1 minus straight r end fraction$ untuk maka

$straight f apostrophe open parentheses straight x close parentheses equals 8 open parentheses fraction numerator 1 over denominator 1 minus sin squared space straight x end fraction close parentheses equals 8 open parentheses 1 plus sin squared space straight x plus sin to the power of 4 space straight x plus sin to the power of 6 space straight x plus... close parentheses straight f apostrophe open parentheses straight x close parentheses equals 8 open parentheses sin to the power of 0 space straight x plus sin squared space straight x plus sin to the power of 4 space straight x plus sin to the power of 6 space straight x plus... close parentheses straight f apostrophe open parentheses straight x close parentheses equals 8 open parentheses sin to the power of 20 space straight x plus sin to the power of 21 space straight x plus sin to the power of 22 space straight x plus sin to the power of 23 space straight x plus... close parentheses equals 8 sum from straight i equals 0 to infinity of open parentheses sin space straight x close parentheses to the power of 2 straight i end exponent$