COS^6

6(-sin(x))^5

If you're looking for a derivative, use the chain rule

d/dx u^n = n*u^(n-1) du/dx

d/dx cos^6(x)
= 6 cos^5(x) * (-sin x)
= -6 sin(x) cos^5(x)

To find the value of COS^6, we need to clarify what you mean by COS^6. If you are referring to the sixth power of the cosine function, then it would be written as (cos(x))^6.

To determine the value of (cos(x))^6, you'll need to know the value of x or have a specific expression for x. Without any specific information about x, it is not possible to calculate a numerical value for (cos(x))^6.

However, if you have a specific value for x, you can compute (cos(x))^6 using a calculator or mathematical software. Just substitute the value of x into the equation and raise the cosine function to the sixth power.