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: AP
Continuity
Continuity Theorems : a function is continuous if function is LHL = f(x) = RHL the function f (x) is continuous at that point. continuous
Continuity of Piecewise Function
Limit of a continuous function at a point is equal to the value of the function at that point. Piecewise Functions. The piecewise function f (x) is continuous at such a point if and only of the left- and right-hand limits of the pieces agree and are equal to the value of the f. Continuity of Piecewise function
Limits- Trigonometric and Exponential
exponential and trigonometric functions without the use of limits. Hence Some critical trigonometric limits Sinning by degrees is costly. Further exponential functions also Limit – trigonometric and exponential
Limits – Algebraic
LHL and RHL are the limit concept of function. So, we have to solve function for given limits. Due to different type of limits , function cannot solve. Limits
Properties of curves
properties of curves follow from its definition and the assumptions upon which indifference curve approach is based. Indifference curves have a negative slope. Also zero slope at turning point. Hence tangent is horizontal. Further also point of inflexion. Properties of curve
Graphs of Inverse trigonometric function...
Graphs of Inverse Trigonometric Functions. The graphs of the inverse functions are the original function in the domain specified above, which has been flipped about the line y=x. The effect offlipping the graph about the line y=x is to swap the roles of x and y, so this observation is true for the graph of any inverse function. Hence it interchange. Further it use in calculus. […]
AP Calculus Planner
This post is planing and preparation for AP calculus exam is customise by SAT PREP. Exam curriculum required six month for preparation. During this preparation First five month course completing and last one month two mock exam. Therefore students are advise to preparation of six month AP calculus Planner
Structure of AP Calculus Assessment
Structure of AP calculus exam paper. In this assessment board test skills of candidate. These skills are with technology as well as without technology. Therefore preparation required in both ways. Structure of AP Calculus
Differentiation of Implicit and Inverse ...
In calculus, a method of implicit differentiation, Makes use of the chain rule to differentiate implicitly defined functions. To differentiate an implicit function y ( x ), defined by an equation R ( x, y) = 0, it is not generally possible to solve it explicitly for y and then differentiate. The derivatives of inverse trig functions we’ll need the formula from the last section […]
