Question

I need help with cal 1

Answer 1

i assume youve determined that the function is continuous across the domain already?

Answer 2

what would be:\[\frac{f(9)-f(1)}{9-1}\]???

Answer 3

yes i have

Answer 4

yeah, it seems good on the interval to me; now we just need to determine the slope from one end to the other to get the average slope

Answer 5

OK how do i do that.

Answer 6

by using the slope formula from f(1) to f(9)

Answer 7

for the first question that is

Answer 8

oh ok

Answer 9

the change in f(x) from f(9) to f(1)
---------
the change in x from 9 to 1

Answer 10

(9-27)-(0) -18
---------- = --- = -9/4
9-1 8

you agree?

Answer 11

yes

Answer 12

so, with this as our average slope; we need to find a value for "c" in the interval stated that has the same slope. Since the slope of any point is defined by the derivative; we need to get the derivative to play with

what the derivative of the function in the forst question?

Answer 13

ok can you show me the steps please.

Answer 14

I can, but this is the part that is specific to calc 1 tha tyou really should know for this question.

Give it a try, and ill see where it is that you might be having a problem at.

Answer 15

the derivative of 3sqrt(x) is?

the derivative of 3x is?

Answer 16

2 things that might make this simpler is to know:
\[\frac{d}{dx}x^n=\ nx^{n-1}\]
\[\sqrt[n]{\ x\ }=x^{1/n}\]

Answer 17

sorry still lost

Answer 18

then i would suggest you review your derivative rules for this. Otherwise you will still be lost.

Answer 19

OK thanks.

Answer 20

good luck :)