Thursday

April 17, 2014

April 17, 2014

Posted by **Jin** on Saturday, September 4, 2010 at 12:05am.

f(x)=–3x3–1x2+1x+1Find the average slope of this function on the interval (–2–1).

By the Mean Value Theorem, we know there exists a c in the open interval (–2–1) such that f(c) is equal to this mean slope. Find the value of c in the interval which works

I found the mean which is -17 but I can't get the C. I don't know what im doing wrong

- calculus -
**Damon**, Saturday, September 4, 2010 at 4:23amf(-1) = 3-1-1+1 = 2

f(-2) = 19

slope = (2-19)/1 = -17 agree

f'(x) = -9 x^2 - 2 x + 1

for what values of x is that -17?

-9 x^2 - 2 x + 1 = -17

9 x^2 + 2 x - 18 = 0

x = [-2 +/- sqrt (4+648)]/18

= 1.3 or -1.53

-1,53 is in the domain

check it by calculating

f'(1.53)

**Related Questions**

calculus - Consider the function f(x)=4sqrtx+5 on the interval [4,5]. Find the ...

calculus - Consider the function f(x)=3x^2 – 5x on the interval [-4,4]. Find the...

CALCULUS! - Consider the function f(x)=4x^3–2x on the interval [–2,2]. Find the...

math - Consider the function f(x)=2sqrtx+4 on the interval [2,8]. Find the ...

calc - consider the function f(x)=x^3 - x^2 - 3x -2. find the average slope of ...

calculus - Consider the function f(x)=6sqrt(x)+1 on the interval [3,5] . Find ...

math - Consider the function f(x)=–2x^3–3x^2+2x–2 Find the average slope of this...

Math - Consider the function f(x)=8(x^(1/2))+7 on the interval [1,5]. By the ...

math - Consider the function f(x)=10sqrrootx+5 on the interval [3,10]. i found ...

Calculus - Find the average or mean slope of 2x^3 - 6x^2 - 90x +3 on the ...