2013
Mathematics
67ca00ce0c643c71d77dee1f
If y = x sin x, find δy/δx
A.
sin x - cos x
B.
. cos x - x sin x
C.
cos x + x sin x
D.
sin x + x cos x
Correct Answer: sin x + x cos x
Explanation
y = x sin x Where u = x and v = sin x Then δu/δx = 1 and δv/δx = cos x By the chain rule, δy/δx = v(δu/δx) + u(δv/δx) = (sin x)1 + x cos x = sin x + x cos x
y = x sin x Where u = x and v = sin x Then δu/δx = 1 and δv/δx = cos x By the chain rule, δy/δx = v(δu/δx) + u(δv/δx) = (sin x)1 + x cos x = sin x + x cos xTHIS WEEK's
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