November 2nd, 2019, 08:25 PM  #1 
Newbie Joined: Sep 2019 From: Papua New Guinea Posts: 13 Thanks: 1  derivative
Consider the function f(x)=6xx^2 and the point P(2,f(2)=(2,7)). Find the slopes of secant lines to the graph of y=f(x) determined by P and points on the graph at x=3 and x=1.5 Last edited by skipjack; November 2nd, 2019 at 11:19 PM. 
November 2nd, 2019, 09:02 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,647 Thanks: 1476 
$f(2) = 8 \neq 7$ Is there a typo or am I not understanding you? 
November 2nd, 2019, 11:26 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 21,124 Thanks: 2332 
The points are P(2, 8), (3, 9) and (1.5, 6.75), so the required slopes are (9  8)/(3  2) = 1 and (6.75  8)/(1.5  2) = (1.25)/(0.5) = 2.5. 

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