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What is the smallest slope on the curve?
The smallest slope of a curve means the point at which the derivative (the slope) is minimal. So find the derivative first, then find the minimum value of this function. That means finding another derivative and setting it equal to zero to solve for x. Example with the curve y = x^3 - x^2 : The slope at any given point is given by the derivative, which is 3x^2 - 2x. To find the minimum value of this function, compute its derivative (which is 6x - 2) and set it equal to zero. Solve 6x - 2 = 0 for x and you'll find the answer. It's x = 1/3. This is the point at which the smallest slope occurs. The smallest slope ITSELF is the value of the first derivative at x = 1/3, so plug x = 1/3 into 3x^2 - 2x and you get -1/3. This method could also have found the LARGEST slope of the initial curve. So you have to make sure by computing the slope at another point (any other point). Take x = 0. There the slope is 0, which is bigger than -1/3. So the -1/3 value is indeed the SMALLEST slope.
Explain the concept of ridge lines in economics?
Ridge lines is a concept in Micro Economics related to Isoquants (which shows different combination of inputs for the same level of output). However, after a certain point Isoquant begins to slope upward, if there are 2 or more isoquants then there would be similar points on the other isoquants too... on joining these points, you get the ridge lines. Note: the point from where Isoquant slopes upward is a point where the marginal product of one of the input is negative.
A horizontal line has an undefined slope?
No, the slope of a horizontal line is 0. The slope of a vertical line is undefined.
What determines the slope of IS Curve?
mainly the slope of Is curve depends on ; -the slope of investment schedule -the size of the multiplier
Why does Investment Savings Curve slope downward?
due to negative slope
