Posted by sam on Sunday, January 23, 2011 at 5:10pm.
consider the function f(x)=x^26x+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
a.
[ value of the function at 3  value of the function at 1} / 4
b.
f(x+h) = x^2 + 2 x h + h^2  6x6h +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
c.
what is 2x6 when x = 3 ???
d.
2x6 = 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
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 ...
More Related Questions