Determine the derivative of `-7 / (2x^2-8x+16)`

Expert Answers

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

The derivative of f(x) = `-7/(2x^2-8x+16)` has to be determined. Use the quotient rule.

f'(x) = `((-7)'*(2x^2-8x+16) - (-7)*(2x^2-8x+16)')/(2x^2-8x+16)^2`

=> `(7*(4x - 8))/(2x^2-8x+16)^2`

=> `(7*(x - 2))/(x^2-4x+8)^2`

=> `(7x - 14)/(x^2-4x+8)^2`

The derivative of `-7/(2x^2-8x+16)` is `(7x - 14)/(x^2-4x+8)^2`

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