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

Textbook Question

Chapter 2, 2.3 - Problem 50 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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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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