derivative of a function at a given point





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..
Which of the following functions have points of discontinuity in their..
Which of the following functions have points of discontinuity in their domain? => f ( x ) = x 2 or f ( x ) = | x | or f ( x ) = 2 or f ( x ) = int ( x )..
Increasing and Decreasing Functions
This section explains how derivative can be used to check whether a function is increasing, decreasing or neither increasing nor decreasing in its domain. Let f be a function defined on an interval I and let x 1 and x 2 be any two points on I. (i) f is said t..
Physical Significance of Wave Function
Physical Significance of Wave Function - In the physical sense, y gives the amplitude of the wave associated with the electron. It is known that in case of light waves, the square of the amplitude of the wave at a point is proportional to the intensity of light. Extending the sa..
Physical Significance of Wave Function
In the physical sense, y gives the amplitude of the wave associated with the electron. It is known that in case of light waves, the square of the amplitude of the wave at a point is proportional to the intensity of light. Extending the same concept to electron wave motion, the square of t..
Which is a method of estimating the co-ordinates of a point that lie b..
Which is a method of estimating the co-ordinates of a point that lie between two given data points? => Linear extrapolation or Linear interpolation..
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..
The highest order derivative of the unknown function occuring in the d..
The highest order derivative of the unknown function occuring in the differential equation is the ________ of the differential equation => Power or Order or Degree or Particular solution or General solution..
Compensation Point
At a given low concentration of CO 2 and non-limiting light intensity, the photosynthetic rate of a given plant will be equal to the total amount of respiration. The atmospheric concentration of CO 2 at which photosynthesis just compensates for respiration is referred to..
Differentiability at a Point
A function f(x) is said to be differentiable at a point 'a' if (i) both Rf '(a) and Lf '(a) exists and finite. (ii) Rf '(a) = Lf '(..
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