Then by factoring the expression for m, if that be possible, you may see where the slope m is positive, negative or zero. This analysis can be done whenever one quantity is graphed against another. Calculus - A warning Calculus employs at full strength the algebraic way of writing and reasoning. Students who have done well in previous math courses without fully understanding the algebraic way of writing and reasoning will find calculus stressful. Memorization of formulas or rules for differentiation by itself is not enough.
Understanding is required.
A few are even performed. Mastering the logic appetizers should help read the definition in calculus precisely, and follow the chains of reason provided by your teacher or textbook. In skiing or walking you can tell where the path is going up, down or is on the level. The slope is positive on uphill portions, negative on downhill portions and zero on flat portions. Knowing the sign of the slope gives information about the hill.