Differentiate xcos2x. derivative of xcos2x is =?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have to differentiate f(x) = x*cos 2x

f'(x) = x'*cos 2x + x*(cos 2x)'

f'(x) = cos 2x + x*(-sin 2x)*2

f'(x) = cos 2x - 2x*(sin 2x)

The required derivative of f(x) = x*cos 2x is f'(x) = cos 2x - 2x*(sin 2x)

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial