Monday

December 22, 2014

December 22, 2014

Posted by **Jen** on Saturday, November 11, 2006 at 9:50pm.

1)increasing

2)decreasing

3)concave up

4)concave down

Also find any local extreme values and inflection points.

Thanks.

(1) The function is increasing when the first derivative dy/dx = 8x^3 - 8x is positive

(2) The function is decreasing there the same derivative is negative.

(3) The function is concave up where the second derivative, 24 x^2 - 8, is positive.

(4) The function is concave down where the second derivative is negative.

Extreme values occur whereever dy/dx = 0

Inflection points are where the second deritivative is zero.

The rest is algebra.

**Answer this Question**

**Related Questions**

calculus - Consider the exponential function . Which of the following best ...

calculus - Given f(x)=sin(x)-2cos(x) on the interval [0,2pi]. a) Determine where...

Math - For y= (3x)/(2e^x+e^-1), use graphing techniques to find the approximate ...

find the intervals - How to find the intervals on which the following function ...

grade 12 AP calculus - for f(x= -1/4x4-1/3x3+2x, use analytic method to find the...

Maths - Question – 1: The gradient of the graph of f(x) at any point is,ax^2-12x...

Calculus - For y=(1/4)x^4-(2/3)x^3+(1/2)x^2-3, find the exact intervals on which...

calculus - determine the open intervals on which f(x) is increasing, decreasing...

calculus - Please help me solve. I think increase = concave up and decrease = ...

Calculus (urgent!!) - Please answer the following questions about the function f...