Posted by sam on Sunday, January 23, 2011 at 5:10pm.
consider the function f(x)=x^2-6x+12
a. find the average rate of change over the interval [-1,3]
b. use the definition of the derivative to find f prime(x)
c. find the instantaneous rate of change at the point where x=3
d. find the value of x on the interval [-1,3] such that f prime(x) = -4
calculus (rate of change) - Damon, Sunday, January 23, 2011 at 5:45pm
[ value of the function at 3 - value of the function at -1} / 4
f(x+h) = x^2 + 2 x h + h^2 - 6x-6h +12
f(x) = x^2 - 6x + 12
f(x+h) -f(x) = 2xh +h^2 -6h
divide by h
2x + h - 6
let h -->0
2x - 6
what is 2x-6 when x = 3 ???
2x-6 = -4 when x = 1
If you are having trouble with this, you should read the chapter on the subject more carefully. It is fundamental.
Answer This Question
More Related Questions
- calculus - i'm not sure how to do this. can someone help, please? thanks! ...
- Calulus - Consider the following function. f(t) = 3t2 − 3 (a) Find the ...
- Math - Could someone help me with these questions, I don't know question c) and ...
- Math~Reinyyy - Could someone help me with these questions, I don't know question...
- Pre calculus/ Advanced Functions - Samuel is investigating the rate of change of...
- AP Calculus - The wind chill is the temperature, in degrees Fahrenheit, a human ...
- instantaneous rate of change problem - Joe is investigating the rate of change ...
- function rate of change - Joe is investigating the rate of change of the ...
- Function: Rate of Change - Joe is investigating the rate of change of the ...
- Calc - The wind chill is the temperature, in degrees Fahrenheit, a human feels ...