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
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Category: Additional Maths
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 […]
Trigonometric 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
Kinematics
Describes the motion of points, objects and systems of groups of objects, without reference to the causes of motion. The symbol a stands for the acceleration of the object. And the symbol v stands for the instantaneous velocity of the object. The derivative of displacement with time is velocity ( v = ds/dt ). The […]
Related Rates
Rate of change is also 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. Ralated rates
Calculus
This formula sheet help the students for preparing precalculus and calculus. Further this sheet also help in academic math. This can also be use in Pre-calculus. Calculus
Derivative
The first derivative test is a way to find if a critical point. Critical point is a relative minimum or maximum. The first derivative is negative to the left of the critical point, and positive to the right of it, it is a relative minimum. Second Derivative Test. 1. If , then has a local minimum at . 2. If […]
