Find the linear approximation of the function
Use L(x) to approximate the numbers
The slope of a linear equation of the form
I've read that this is because the coefficient of x (coefficient of y) represent the "speed" at which x (y) increases and thus we can get the slope by dividing the "speed of x" by the "speed of y" - but I'm afraid it's not very intuitive to me.
Why do we use this formula and how is this equivalent to the more general slope formula,