Posted by **Alex** on Saturday, November 6, 2010 at 8:39pm.

Let F be the function defined by F(X)=12X to the 2/3 power minus 4X Find the intervals of which F is increasing? Find X & Y coordinates of all relative max. pts? Find X and Y Coordinates of all relative min pts? Find the intervals of which F is concave down? Sketch a graph of F

- Calc -
**Reiny**, Saturday, November 6, 2010 at 10:09pm
I read your statement as

f(x) = 12x^(2/3) - 4x

then

f '(x) = 8x^(-1/3) - 4

= 0 for max/min

8/x^(1/3) = 4

4x^(1/3) = 8

x^(1/3) = 2

x = 8

then f(8) = 12(8)^(2/3) - 4(8)

= 48 - 32

= 16

Can you take it from here?

remember that the function is concave up when the second derivative is positive and

concave down .....

- Calc -
**Anonymous**, Sunday, January 4, 2015 at 1:09pm
When the second derivative is negative

## Answer This Question

## Related Questions

- calculus - 4. Given the function f defined by f(x) = cos2x for -π≤ x...
- calculus 1 - f(x) = 3x^3 - 9x + 5 find the: 1) zeroes or undefined values 2) ...
- math-calc - for x (-12, 10) the function f is defined: f(x)=x^7(x+2)^2 On which ...
- Calculus - Consider the function f(x) = x - lnx. Find the intervals on which f(x...
- Math - For x [–14,13] the function f is defined by f(x)=(x^3)(x+6)^4 On which ...
- Calculous - let f be the function defined by f(x)=12x^2/3 -4X a)find the ...
- Lauren - Let f(x) = 3+4x-x^{3}. Find the open intervals on which f is increasing...
- math - Let f(x) = 3+4x-x^{3}. Find the open intervals on which f is increasing (...
- Calculus - Let f(x) = 2x^{3}+9. Find the open intervals on which f is increasing...
- calculus - let f(x) = 2x^5-5x^4 find open intervals on which f is a) increasing...

More Related Questions