Solve basic calculus and AP calculus AB problems step by step, learn calculus equations by practice Functions, Limits and Continuity, Derivative, Application of Derivative, Inverse Function.
Function is a rule that assigns to each element 'x' in a set A a unique element in set B (called f(x) or y). Note that for every x there should be only one f(x). In this topic, we will learn to practice problems on value, definition and graphical representation of function. We will learn to practice problems on domain, polynomial, quadratic functions and other type of functions. Also, learn to practice problems on graphical and reflection transformation and combination and composite function.
A limit is a value that a function approaches as the input approaches some value. A function is said to be continuous on the interval [a, b] if it is continuous at each point in the interval. In this topic, we will learn to practice problems on limits, where we learn to solve problems on L’Hospital rule, algebraic rule, rules for different functions and precise definition of limits. Also learn to practice problems on continuity, rules of continuity and theorems.
A derivative of a function can be defined as a rate of change of function with respect to x. In this topic, we will learn to solve problems on derivative, derivative by first principle and differentiation and its meaning. Also learn to practice problems on rules for derivative, problems and combinations of rules, implicit derivative and its application and derivative of trigonometric functions.
A derivative of a function can be defined as a rate of change of function with respect to x. In this topic, we will learn to practice problems on tangent and normal, maximum and minimum values, theorem on minima, maxima and critical points, graphical interpretation and monotonicity. We will learn to solve problems on rate of change and approximation in physics and economics and mean values and rolle's theorem and LMVT and Newton raphson. Also learn to practice problems on limits and infinity, graph of derivation and curve sketching.
If f is a one to one function whose domain and range are A and B, then its inverse function denoted by f−1 has domain B and range A. In this topic, we will learn to solve problems on log inverse function, exponential function and value of e, different operations on log function like inverse limits and derivative of log functions. Also learn to practice problems on basic inverse function and its derivative, domain and derivative of inverse trigonometric functions and their values.