Integration is summation of function. Integration is a way of adding functions to find the sum of functions, also we find equation of curve. As well as Applications are area under the curve and volume. It can be used to find areas, volumes, central points and many useful things. it help you practice by showing you […]
Probability (Basic)
It is the measure of the likelihood that an event will occur. A number between zero and one that shows how likely a certain event. Another probability of event A is the number of ways event A can occur divided by the total number of possible outcomes. Also expressed by the ratio of the number of actual […]
Basics of Permutation and Combination
Combinations and permutation and is a very important topic of mathematics as well as the quantitative aptitude section. In permutation we arrange object while in combination we select items. Permutation and combination
Derivative
The derivative of a function of a single variable at a chosen input value. Derivative is the slope of the tangent line to the graph of the function at that point. Hence derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change […]
Curve sketching
Curve Sketching. If f (-x) = -f (x) for all x in the domain, then f is odd and symmetric about the origin. d) Asymptotes: Find the asymptotes of the function using the methods described above. First attempt to find the vertical and horizontal asymptotes of the function. Curve sketching
Derivative curve
This post about sketching of derivative curve from function curve. Given the graph of a function y = f(x) a standard approach is to identity intervals over which the graph is increasing, another intervals over which it is decreasing, and points at which the tangent line is horizontal. Derivative curve
Curve Sketching -2
the sketching of curve though coordinate of turning and axes intercepts . So equation of the curve is given. Curve sketching
Curve sketching
Coordinate of turning point and axes intercepts for the sketching of curves though . So equation of the curve is given. Curve sketching
Extrema, Rolle’s and MVT
MVT. Theorem states that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function’s average rate of change over [a,b]. Mean value theorem
Rolle’s and MVT
Rolle’s Theorem. Then there is a number c such that a<c<b and f′(c)=0. Or, in other words f(x) has a critical point in (a,b). To see the proof of Rolle’s Theorem see the Proofs From Derivative Applications . Roll’s theorem
