Question

Differentiate (x sin5x + cos2x)(xcos5x - sin2x) with respect to x.​

Answer 1

Answer:

Step-by-step explanation:

let y= (x sin5x + cos2x)(xcos5x - sin2x)

dy/dx=(x sin5x + cos2x) *d/dx( (xcos5x - sin2x))

+)(xcos5x - sin2x) d/dx (x sin5x + cos2x)

= (x sin5x + cos2x) { ( -x*5sin5x+cos5x)-2cos2x) }

+ (xcos5x - sin2x) (5x cos5x+sin5x-2sin2x)