function does not have a derivative at a particular point?


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Derivative of a Function
Derivative of a Function - So far we have discussed the derivative of a function f(x) at a point 'a' which is in the domain of f. Suppose we want to find the derivative of the same function at a different point 'b', the..
Derivative at a Point
Let f be a function and a be any point in its domain. Let h>0 be a small number. f(x) is said to be differentiable if exists and is denoted by f | (..
Name the set of all points in a plane whose distances from a particula..
Name the set of all points in a plane whose distances from a particular point (the focus) and a particular line (the directrix) in the plane have a constant ratio? (Assume that the focus does not lie on the directrix.) => Conic section or Cone or Tr..
Right Hand Derivative
Let f be a function of x (y=f(x)). Let a be a point in the domain of f. The RHD of f at a is defined as where h>0, provided the limit exist..
Theorem 3: (Second Derivative Test)
Let f be a differentiable function on an interval I and let a I. Let f "(a) be continuous at a. Then i) 'a' is a point of local maxima if f '(a) = 0 and f "(a) < 0 ii) 'a' is a point of local minima if f '(a) = 0 and f "(a) > 0 iii) The test fails if f '(a) = 0 a..
The order of the highest order derivative of the unknown function occu..
The order of the highest order derivative of the unknown function occurring in the differential equation is the _______ of the differential equation. => Order or Degree or Particular solution or None of the above..
Work Function
The minimum amount of energy required to emit electrons from a metal surface is called the work function or threshold energy of that metal. The number of electrons emitted per second i.e. the rate of emission depends upon the material of the surface temperature of the surface area..
Which of the following is correct for a function that is differentiabl..
Which of the following is correct for a function that is differentiable at a point x = 3 ? => left hand side derivative = right hand side derivative at x = 3 or left hand side derivative may not be equal to the right hand side derivative a..
Functions Limits and Continuity
Functions Limits and Continuity - 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 ..
Functions Limits and Continuity
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 c..
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