jika y = cos (3/x) , maka dy/dx = ...
Matematika
lintalinarni
Pertanyaan
jika y = cos (3/x) , maka dy/dx = ...
2 Jawaban
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1. Jawaban kircyber
y = cos(3/x)
misal u = 3/x =3x^(-1)
du/dx = -3x^(-2) = -3/x²
y = cos u
dy/du = -sin u
dy/du = -sin(3/x)
dy/dx = dy/du . du/dx
= -sin(3/x) . -3/x²
= 3/x² . sin(3/x) -
2. Jawaban Anonyme
y = cos (3/x) = cos (3x⁻¹)
dy/dx = -sin (3x⁻¹) (-3x⁻²)
= 3 sin (3/x) / x²