penyelesaian turunan 1/ arcsin x
Matematika
satriamukti80
Pertanyaan
penyelesaian turunan 1/ arcsin x
2 Jawaban
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1. Jawaban udin1206
y= 1/arcsin x = sin x
y' = cos x -
2. Jawaban ahreumlim
y = arcsin x
x = sin y
d/dx (x) = d/dx (sin y)
1 = cosy . dy/dx
dy/dx = 1/cos y
= 1/√(1 - sin²y)
= 1/√(1-x²)
trunan dari 1/arcsin x
= -1 .(arcsin⁻²x) . d/dx (arcsin x)
= -1 / [√(1-x²) . arcsin²x]