`y = x/2 - sin(2x)/4` Find the derivative of the function.

Textbook Question

Chapter 2, Review - Problem 59 - 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 = sin(x) ; then dy/dx = cos(x)

2) If y = x^n ; then dy/dx = n*x^(n-1) ; where n = constant

Now, 

`y = (x/2) - {sin(2x)/4}`

`dy/dx = y' = (1/2) - {2cos(2x)}/4`

`or, dy/dx = y' = (1/2) - cos(2x)/2`

`or, dy/dx = y' = {1-cos(2x)}/2`

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