A functions f(x) tells you what to do with the input, but, to be completely defined, function also need to know what type of input is permitted to go into the function. Function
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Category: Cambridge Maths AS
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 […]
Derivative of polynomials
Derivative is product of differentiation. Differentiation has applications to nearly all quantitative disciplines. For example, in physics, the derivative of the displacement of a moving body with respect to time is the velocity of the body, and the derivative of velocity with respect to time is acceleration. Therefore differentiation is process Derivative
Domain and range
Domain represent values of x , while range represented by F(x) or y function. Mostly , functions are portrayed as a set of x/y coordinates. Therefore y-axis serving as a function of x. When we use function F(x) notation then one is independent variable and another dependent variable. Due to this on Y-axis F(x) represent. Domain and range
Graph of Trigo function
Trigo functions definition is – a function of an arc or angle most simply expressed in terms of the ratios of pairs of sides of a right-angled triangle —called also circular function. standard unit circle (a circle with radius 1 unit), starting at the origin and making some angle with the x -axis, the sine of the angle gives the […]
Graph of Trig Function
Graph of trigonometric functions definition is – a function of an arc or angle most simply expressed in terms of the ratios of pairs of sides of a right-angled triangle —called also circular function. standard unit circle (a circle with radius 1 unit), starting at the origin and making some angle with the x -axis, the sine of the […]
Optimization-2
Process of optimisation means optimal value of function at turning point (maximum or minimum ) value of the curve. Therefore second derivative use to find greatest or least value . Also it show greatest value. Optimization
Related Rates -2
First of all related rate problems are applications of derivative . One of the hardest calculus problems that students have trouble . Because each application question has a different approach in solving the problem. Hence called rate of change. Related rates
