slope of 2x-sinx

The slope of 2x-sinx depends on the value of x. To find the slope at a specific point, we need to take the derivative of the function with respect to x. The derivative of 2x is 2, and the derivative of sinx is cosx. So the derivative of the function 2x-sinx is:

2 - cosx

This gives us the slope of the function at any given point. For example, if x = 0, the slope is:

2 - cos(0) = 2 - 1 = 1

If x = π/2, the slope is:

2 - cos(π/2) = 2 - 0 = 2

So the slope of the function 2x-sinx varies depending on the value of x.