Question

help on derivatives(slopes). Will post question and my solution.

Answer 1

Its asking for 2 equations...so 2 slopes?
anyway...

y = x^2 + x ; (2,-3)
y' = 2x + 1
m = 2x + 1
m = 2(2) + 1
m = 5


y - y1 = m(x-x1)
y + 3 = 5(x-2)
y = 5x - 10 - 3
y = 5x - 13 <-- (1)

But when i used (1) in my graphing calculator to double check, it is way off. why? and how would you get it.

Answer 2

If 5 is really the slope of the first equation, would it be the smaller or the larger value?

Answer 3

Sorry, I thought I knew but I don't :(

Answer 4

tangent line is unique

Answer 5

okay...

Answer 6

What did your graph look like. Could you draw it?

Answer 7

Oh my bad. Check your original y coordinate. It doesn't work

Answer 8

hmm my drawing is sumthing like ths