Acube with edges of length x centimeters has volume v(x)=x^3 at the instant when x=2, what is the rate of change of x, in centimeters per minute, with respect to time?

The rate of change of x, in centimeters per minute, with respect to time is found to be :

Step-by-step explanation:

Edge length of the cube is given to be x centimeters

Hence, the rate of change of x, in centimeters per minute, with respect to time is found to be :

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

any options?

step-by-step explanation: