jika f(x)=csc(tanx), maka f¹(x)
Matematika
nidanurafifah13
Pertanyaan
jika f(x)=csc(tanx), maka f¹(x)
1 Jawaban
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1. Jawaban Anonyme
Turunan Fungsi Trigonometri.
Kelompok peminatan kelas XII kurikulum 2013 revisi 2016.
f(x) = csc [u(x)] → f'(x) = -cot [u(x)] csc [u(x)] u'(x)
f(x) = csc (tan x)
f'(x) = -cot (tan x) csc (tan x) d/dx (tan x)
= -sec² x cot (tan x) csc (tan x)
= (-1 / cos² x) [cos (tan x) / sin (tan x)] [1 / sin (tan x)]
= - cos (tan x) / [cos² x sin² (tan x)]