FIN30210 Lecture Notes - Lecture 2: Quotient Rule, Chain Rule, Product Rule
Document Summary
Slope expresses changes in our dependent variable when we change our independent variable. Monotonically = if we have a point x2 and its greater than x1, even when you transform them or change them, x2 is still greater than x2. Rules of exponents (x+y)^m does not equal x^m + y^m (x+y)^2 = (x+y) * (x+y) We want to know how y changes as x changes. The derivative of a constant is 0 because it won"t change as x changes. If 2 variables are being added, you take the derivative of both x"s individually. F(x) = (3x^2 + 5)(3x + 10) = g(x) * h(x) = 9x^3 +30x^2 + 15x + 50. F"(x) = g(x)*h"(x) + h(x)*g"(x) = (3x^2+5)3 + (3x+10)(6x) F"(x) = h(x) * g"(x) - g(x) * h"(x) / h(x)^2. Look in notebook for problems (labeled 1/25/17) Want to know how does z change as i change x and how does z change as i change y.
