Wednesday

October 1, 2014

October 1, 2014

Posted by **yedid** on Friday, April 23, 2010 at 11:38pm.

- calculus I -
**Reiny**, Saturday, April 24, 2010 at 10:51amSo first of all

y' = 6x^2 + 6x - 6

y'' = 12x + 6

for local max/min y'=0

6x^2 + 6x - 6 = 0

x^2 + x - 1 = 0

x = (-1 ± √5)/2

sub that into the function to get the max/min, you do the arithmetic.

for pts of inflection, 12x+6=0

x=-1/2

sub that back into the function to get the point of inflection. You do the arithm.

for concave up y'' > 0, for down y'' < 0

for 12x+6 > 0 concave up, or x > -1/2 concave up

for 12x+6< 0 concave down, or x < -1/2 concave down.

**Answer this Question**

**Related Questions**

calculus - I dont understand how to do this? I dont know the steps on how to do ...

Calculus - Consider f(x)=200+8x^3+x^4. find the intervals on which function is ...

calculus - let f(x) = 2x^5-5x^4 find open intervals on which f is a) increasing...

calculus - y=5/x-3 find the zeros,relative min and max.the max and min find the ...

Calculus - Consider the function f(x) = x - lnx. Find the intervals on which f(x...

Calculus - let f(x)=x^3(e^-x) Answer using calculus, use graphing calculator ...

Calculus-concavity and graphing - (2x+1)/(8x+1) f is increasing for x: f is ...

Math - Consider the equation below. (Give your answers correct to two decimal ...

calculus - (a) find the intervals on which f is incrs or decrs. (b) find the ...

Calculus - find the intervals where the function is increasing and the intervals...