Thursday

December 18, 2014

December 18, 2014

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

- Calc -
**Reiny**, Saturday, November 6, 2010 at 10:09pmI 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 .....

**Answer this Question**

**Related Questions**

math-calc - for x (-12, 10) the function f is defined: f(x)=x^7(x+2)^2 On which ...

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 ...

calculus - 4. Given the function f defined by f(x) = cos2x for -π≤ x...

CALCULUs - For all x in the interval [-11,13] the function f is defined by x^3(x...

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

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 (...

math-calc - Consider the function f(x)= (2x+8)/(6x+3). For this function there ...

increasing decreasing calc - f(x)=x^3=12x-24 f'(x)=3x^2+12=0 3x^2=-12 x^2=-4 ...