My little summary on what i understood and learned in the worksheet is, depending on the function, the slope can change at different graphs, and some will remain the same depending on the coefficients. With that said, if we were to have a negative function the slope will be negative, with that said, if we were to have a positive function the slope will be positive. With both of them said, as well as if we have the function multiplied by 2 the slope will be doubled as well. We looked at only square root functions, but they are x^(1/2). So, I think this applies to all types of functions. A few examples, y=x^2, y’=2x. y=-x^2, y’=-2x. And this applies to some special functions, such as sin(x) or cos(x). Another example Square Root of x. the slope of the tangent line at x=1 is 1/2, but if it's negative square root of x. the slope of the tangent line at x=1 is -1/2. The main idea is what we do to the function will happen to the derivative.