`y = xsin(x) + cos(x)` Find the derivative of the trigonometric function.

Expert Answers
hkj1385 eNotes educator| Certified Educator

Note:- 1) If y = sinx ; then dy/dx = cosx

2) If y = cosx ; then dy/dx = -sinx

3) If y = u*v; where 'u' & 'v' are functions of 'x' ; then dy/dx = uv' + vu'

Now, 

`y = xsinx + cosx`

`dy/dx = y' = xcosx + sinx - sinx`

`or, dy/dx = y' = xcosx`

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