a. If 'a' is a constant then
b. If a is a constant then
c. Given two series x and y then
d. Given two series then product and division look like
e. Given two series then the double sum operates as
a. Intercept and slope:
b. Partial effects:
a. Change
b. Proportionate change
a. Quadratic functions
b.Natural Logarithms: y = log(x), The graph: Increasing at a decreasing rate.
c. The Exponential: y = exp(x), The graph: Increasing at an increasing rate.
a. The derivative is a linear operator so its properties are similar to the summation operator.
b. The derivative tells us the rate of change or slope of a function.
b. A rule:
c. When the first derivative is zero then the functino has reached either its maximum or its minimum.
d. Partial differentiation.
e. The chain rule: