This rate of change is not the same as the average rate of change. Average rate of change instantaneous rate of change change in quantity change in time limits. We want to talk about instantaneous rate of change, instantaneous rate of change is a lot like instantaneous velocity only it’s a little more general Instant and Average rate of change
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Category: IB/Cambridge
Continuity
Continuity Theorems : a function is continuous if function is LHL = f(x) = RHL the function f (x) is continuous at that point. continuous
Parametric Equations
Parameter equations are three variable equation. In this type of equation two variable defines in terms of third variable to form two equation. Third common variable is know as parameter. Due to parameter these equation call parametric equation. Likewise x = f(t) and y = g(t), where t is parameter. Also we can say x […]
Power series with Complex Coefficient
Power series with Complex Coefficient. n represents the coefficient of the nth term and c is a constant. An is independent of x and may be expressed as a function of n . The set of all formal power series in X with coefficients in a commutative ring R form another ring that is written R [[ X ]] Also expressions for Coefficients of a Power Series. As […]
Power series with Real Coefficient
Power series with Real Coefficients. The exponential function (in blue), and the sum of the first n + 1 terms… Radius of convergence. A power series will converge for some values of the variable x… Operations on power series. Power Series
Fundamentals of Counting Principal , Per...
The Fundamental Counting Principle and Permutations is a way to figure out the total number of ways different events can occur. In combinatorics, the rule of product or multiplication principle is a basic counting it is the idea . Hence this principle also used in permutation and combination. Counting Principles
Derivative test
First Derivative Test for Local Extrema. If the derivative changes from positive (increasing function) to negative (decreasing function), the function has a local (relative) maximum at the critical point. Second Derivative Test. 1. If , then has a local minimum at . 2. If , then has a local maximum at . The extremum test gives slightly more general conditions under which […]
Trigonometric Plane
Trigonometric plane for sign convention of trigonometric ratio in quadrants. There are four quadrants in plane and six trigo ratio. This is useful while finding angle for given value. Also we required for sketching trigo graph. As curve both side of x-axis. Trigonometric Plane
