passpadi

2010

Mathematics

67ca00ce0c643c71d77dee1f

If y = x sinx, find dy/dx

A.

sin x - x cosx

B.

sinx + x cosx

C.

sinx - cosx

D.

sinx + cosx

Correct Answer: sinx + x cosx

Explanation

If y = x sinx, then Let u = x and v = sinx du/dx = 1 and dv/dx = cosx Hence by the product rule, dy/dx = v (du/dx) + u(dv/dx) = (sin x) x 1 + x cosx = sinx + x cosx

If y = x sinx, then Let u = x and v = sinx du/dx = 1 and dv/dx = cosx Hence by the product rule, dy/dx = v (du/dx) + u(dv/dx) = (sin x) x 1 + x cosx = sinx + x cosx
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