Question

Use the definition of the derivative( see attachment) to find f ’(c) where fx = x^2 - 3x + 2 at c = 1

Answer 1

@mathsmind can u help?

Answer 2

yes i will be with u shortly after my phone call

Answer 3

ok

Answer 4

ok

Answer 5

so how would i apply it?

Answer 6

i will show u

Answer 7

ok

Answer 8

\[f(x) = x^2-3x+2\]

Answer 9

a=1, b=-3, and d= 2, c=1

Answer 10

okay

Answer 11

let me plug them in

Answer 12

okay

Answer 13

ok

Answer 14

2x-3

Answer 15

okay i forgot to post the multiple choices here they are
A. -1
B. 1
C. 1/2
D. 2

Answer 16

okay so i'll solve 2x - 3 right?

Answer 17

yes

Answer 18

sorry i am on the phone at work

Answer 19

ok

Answer 20

i will be with u in a moment

Answer 21

-1 would be the ans though...

Answer 22

ok

Answer 23

by the way keep h->0

Answer 24

not h->c

Answer 25

i will do it again

Answer 26

\[\lim_{h \rightarrow 0}\frac{(x+h)^2-3(x+h)+2-x^2+3x-2}{h}\]

Answer 27

\[\lim_{h \rightarrow 0}\frac{x^2+2hx+h^2-3x-3h+2-x^2+3x-2}{h}\]

Answer 28

\[\lim_{h \rightarrow 0}\frac{2hx+h^2-3h}{h}\]

Answer 29

\[\lim_{h \rightarrow 0}{2x+h-3}\]

Answer 30

\[f'(x)=2x-3\]

Answer 31

\[f'(c)=2c-3\] and c =1 yeilds
\[f'(1)=2(1)-3=-1\]

Answer 32

this is a better way to solve the problem than the ones i deleted, hope this helps and all the best

Answer 33

are you following please use the new detailed steps in your answer

Answer 34

ok