A. Derivative Notation The derivative of f(x) is written as f'(x). We read it f prime of x. We can say it y' (y prime) because f(x) and y is interchangeable. Other we have notation dy/dx. It means the change in y's over the change in x's or we know it as slope. We say that the derivative is a slope of tangent line at specific point. We remember that the slope is change in y values over the change in x values. For the derivative we need two points. The first is (x, f(x)), f(x) is represented y. We can say that (x, f(x)) is the starting point (x,y). The second point is ((x+h),f(x+h)) with h is change in x. From those points we can find the slope of the line between points by slope formula. The formula is shown bellow. Slope=(change in y's)/(change in x's)=(y2-y1)/(x2-x1) Suppose that y1 is f(x), y2 is f(x+h), x1 is x, and x2 is x+h. So from the formula we get (f(x+h)-f(x))/(x+h-x)= (f(x+h)-f(x))/h h represent change in x values. If we put limit h approach...
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