If y = x sin x, find \( \frac{\delta y}{\delta x} \)

Assessment: JAMB UTME - Mathematics - 2013 Subject: General Mathematics

Question 1 Report

If y = x sin x, find \( \frac{\delta y}{\delta x} \)

Answer Details
y = x sin x
Where u = x and v = sin x
Then  δ u δ x  = 1 and  δ v δ x  = cos x
By the chain rule,  δ y δ x = v δ u δ x + u δ v δ x
= (sin x)1 + x cos x
= sin x + x cos x

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