Compute the slope of the secant line between the given x-values. f(x) = x^3 - x.

a. x = 1 and x = 2
b. x = 2 and x = 3
c. x = 1.5 and x = 2
d. x = 2 and x = 2.5
e. x = 1.9 and x = 2
f. x = 2 and x = 2.1
g. Use parts a-f to estimate the slope of the tangent line at x = 2

Question

Compute the slope of the secant line between the given x-values. f(x) = x^3 - x.

a.	x = 1 and x = 2
b.	x = 2 and x = 3
c.	x = 1.5 and x = 2
d.	x = 2 and x = 2.5
e.	x = 1.9 and x = 2
f.	x = 2 and x = 2.1
g.	Use parts a-f to estimate the slope of the tangent line at x = 2

anonymous · Answer

@zepdrix  can u help? i alreayd did a throught f i just need help with g.

anonymous · Answer

since the question asks to estimate, look at the graph and make an estimate of the slope of the tangent line at x=2.

anonymous · Answer

but i haven't graphed it yet

zepdrix · Answer

What kind of numbers are you getting for a-f? They should be fairly close to a certain value.

zepdrix · Answer

Part $g$ isn't really so much math... It's just, look at the previous numbers you had, what does it look like the slop of 2 is approximately? :D

anonymous · Answer

okay here is what i got for all of them 
a. 6
b. 18
c. 8.25
d. 14.25
e. 10.41
f.11.61

zepdrix · Answer

|dw:1360792515716:dw|Ok this is difficult to draw, hopefully you can see what I was trying to do though.