Question

find $y'$ for each:

1. $y= x³ sin x$

$y= x² + 2x cos x$2. $y= x² + 2x$ $cos x$

3.$y = x/( sec x + 1)$

$y= x² + 2x cos x$

Answer 1

1) $y'=3x^2\sin x+x^3\cos x$

2) $y'=2x+2\cos x-2x\sin x$

3) $y'=\frac{\sec x +1-x\tan x\sec x}{(\sec x+1)^2}$