Question

Given: f(x)=x^2+3x+1 Determine the value of
f(b+h)-f(b)/h

Answer 1

first derivative test? everywhere you see x substitute for b+h

Answer 2

(b+h)^2+3(b+h)+1-(b^2+3b+1)/h

Answer 3

2x+3

Answer 4

\[\frac{b^2+2bh+h^2-b^2-3b-1}{h}\]

Answer 5

i ended up with 2b+h

Answer 6

sorry i missed out a peace

Answer 7

yes your correct...good job!

Answer 8

thank you

Answer 9

i believe you may be missing a 3 though maybe its a mistake i made...

Answer 10

you're welcome! btw...

Answer 11

i got 2b+h+3 is this the lim as h->0?

Answer 12

I am still a little unsure of how I solved it because I don't completely understand where you substitute the x^2+3x-1

Answer 13

do you mean for the f(b+h)?

Answer 14

in the frist function everywhere you see x you put (b+h) so it'll be (b+h)^2+3(b+h)-1

Answer 15

your right!!!!

Answer 16

thank you for pointing out the missing 3

Answer 17

\[\frac{b^2+2bh+h^2+3b+3h+1-b^2-3b-1}{h}\]

Answer 18

lol yes because when you expane it...lol i thought it was wrong

you're welcome everyone makes mistakes

anything else you dont understand??

Answer 19

well i am having a problem figuring out the coordinates to a graph i have to draw.

Answer 20

post it in another question

Answer 21

i posted it