Do you agree or disagree with the statement " the marginal rate of change of the function f(x)= x5 at the point (2,32) is 80''? Show working to support answer    

Expert Answers

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

You need to find the marginal rate of the given function, hence, you need to differentiate the function with respect to the argument x, such that:

`f'(x) = (x^5)' => f'(x) = 5x^4`

You need to evaluate the derivative of the function at `x = 2` , such that:

`f'(2) = 5*2^4 => f'(2) = 5*16 = 80`

Hence, checking of the rate of change of the given function at `x = 2`  is `f'(2) = 80`  yields that the statement is valid.

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