The demand slope is given by D(p) = 20 / sqrt (p - 1)

The slope of the curve is the value of the first derivative at the required point.

D(p) = 20 / sqrt (p - 1)

=> 20* ( p - 1)^(-1/2)

D'(p) = 20*(-1/2)*(p -1)^(-3/2)

At the point (5, 10), the slope is

D'(5) = -20*(1/2)*(5 -1)^(-3/2)

=> -20*(1/2)*(4)^(-3/2)

=> -20*(1/2)/8

=> -20/16

=> -1.25

**The slope of the demand graph at (5, 10) is -1.25**.

Posted on

## 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

Already a member? Log in here.

Are you a teacher? Sign up now