f(x) = sinx+cosx/sinx f' (x)=...? tolong dijawab gann!!
Matematika
izahra449
Pertanyaan
f(x) = sinx+cosx/sinx
f' (x)=...?
tolong dijawab gann!!
f' (x)=...?
tolong dijawab gann!!
1 Jawaban
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1. Jawaban pramarthan
F'(x) = u/v = u'v-uv'/v^2
= (cosx-sinx)sinx - (sinx+cosx)-cosx
/sin^2x
= cosxsinx - sin^2x + sinxcosx + cos^2x / sin^2x
= 2sinxcosx - sin^2x + cos^2x/sin^2x
U = sinx+cosx
V= sinx