Rates of change

**live_laugh_luv27** · October 25th 2009, 10:31 AM

Let $g(x) = x^2-3x+4$

a. Find the average rate of change of $g$ over the interval $[1,4]$

b. Find the rate of change of $g$ at $x=3$

c. Find the equation of the tangent line at $x=3$

d. Find the equation of the normal line at $x=3$

Here are my answers, are they correct?

a. 2

b. 3

c. $y-4=3(x-3)$

d. $y-4=-\frac{1}{3}(x-3)$

**Arturo_026** · October 25th 2009, 10:41 AM

As far as i can see it looks good.
So for a you used f(b)-f(a)/b-a , for b you found f'(3) and your line equations look good.
Nice job.

**live_laugh_luv27** · October 25th 2009, 10:44 AM

Originally Posted by Arturo_026

As far as i can see it looks good.
So for a you used f(b)-f(a)/b-a , for b you found f'(3) and your line equations look good.
Nice job.

ok, thanks..just wanted to make sure I'm doing the problem right.

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