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skullers_ab
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[SOLVED] Interpretation of Trig Expression
Question: Sin xy = y, find dy/dx. This was given as Homework.
I did the question as Sin (xy) = y, whereas my teacher took the question as (Sin x)y = y and made a joke out of me in the class for thinking otherwise. All I want to know is which way should the question be interpreted.
Sin xy = y
Taking my interpretation of Sin xy = y as Sin (xy) = y, the differentiated equation I get is:
dy/dx = (-y Cos xy)/(x Cos xy - 1)
Homework Statement
Question: Sin xy = y, find dy/dx. This was given as Homework.
I did the question as Sin (xy) = y, whereas my teacher took the question as (Sin x)y = y and made a joke out of me in the class for thinking otherwise. All I want to know is which way should the question be interpreted.
Homework Equations
Sin xy = y
The Attempt at a Solution
Taking my interpretation of Sin xy = y as Sin (xy) = y, the differentiated equation I get is:
dy/dx = (-y Cos xy)/(x Cos xy - 1)
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