graphing derivatives

x = a is called a point of inflexion. Rolle's theorem: If a function f(x) is such that (i) f (x) is continuous on [a,b] (ii) f (x) is differentiable on (a,b) and (iii) f (a) = f (b) Geometrical interpretation of Rolle's theorem Let AB be the graph of y = f(x) such that A = (a , f(a)) and ..

The acceleration produced in a body.The distance covered by a moving object.We can derive the equations of motio..

Distance as Area under Velocity-Time Graph..

The following results can be deduced from velocity-time graph. The acceleration produced in a body The distance covered by a moving object We can derive the equations of motion Let us see how to calculate the distance covered by a moving object from speed-time gr..

Derivatives are also used to trace the graphs of different functions. To optimise the value of a differentiable function of practical use, derivatives of the functions are applied. This chapter reveals with many more application of derivatives such as determ..

Introduction - The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. W..

The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We connect the..

If the current flows always in the same direction, it is called 'direct current'. Direction current is represented as DC or dc. The current derived from a cell or a battery is direct current - since it is unidirectional. The positive and negative terminals are fixed. If the current change..

Let u be the initial velocity of an object and 'a' the acceleration produced in the body. The distance travelled s in time t is given by the area enclosed by the velocity-time graph for the time interval 0 to t. Distance travelled s = area of the trapezium ABDO = area of rectangle A..

Direct Current - When the current flows in the same direction it is called 'direct current' or DC The current derived from a cell or battery is unidirectional. So it is a DC source It is represented in an electrical circuit as The voltage V/s time graph for a DC so..