Maxima and Minima
Maxima and Minima - A function f(x) is said to have a local maximum at x = a, if $ is a neighbourhood I of 'a', such that f(a) f(x) for all x I The number f(a) is called the local maximum of f(x). The point a is called the point of maximum. Note that when 'a' is the point of loc..
Maxima and Minima - A function f(x) is said to have a local maximum at x = a, if $ is a neighbourhood I of 'a', such that f(a) f(x) for all x I The number f(a) is called the local maximum of f(x). The point a is called the point of maximum. Note that when 'a' is the point of loc..Maxima and Minima
A function f(x) is said to have a local maximum at x = a, if $ is a neighbourhood I of 'a', such that f(a) f(x) for all x I The number f(a) is called the local maximum of f(x). The point a is called the point of maximu..
A function f(x) is said to have a local maximum at x = a, if $ is a neighbourhood I of 'a', such that f(a) f(x) for all x I The number f(a) is called the local maximum of f(x). The point a is called the point of maximu..Ratio of Intensities at Maxima and Minima
It has already been proved that the intensity of a wave is proportional to the square of the amplitude. At a point where constructive interference has occurred, the intensity will be maximum and the amplitudes of the two waves will have added. If A 1 and A 2 are the amplitudes of the individual wav..
It has already been proved that the intensity of a wave is proportional to the square of the amplitude. At a point where constructive interference has occurred, the intensity will be maximum and the amplitudes of the two waves will have added. If A 1 and A 2 are the amplitudes of the individual wav..Conclusion Differentiation
In this chapter, we have studied various techniques of differentiation. Also, we have studied the method of obtaining higher order derivatives of functions which is useful in maxima and minima problems.In this chapter, we have studied various techniques of differentiation. Also,..
25.
Two coherent sources of intensity ratio 100:1 interfere. Deduce the ratio of intensity between the maxima and minima in the patter..
Step 2:
Solve f '(x) = 0 to get the critical values for f (x). Let these values be a, b, c. These are the points of maxima or minima. Arrange these values in ascending ord..
27.
The ratio of the intensities at minima to maxima in the interference pattern is 9:25. What will the ratio of the widths of the two slits be in Young's double slit experimen..
Numerical - 27
The ratio of the intensities at minima to maxima in the interference pattern is 9:25. What will the ratio of the widths of the two slits be in Young's double slit experimen..
Example:
Find the local maxima or local minima, if any, for the following function using first derivative test f (x) = x 3 - 6x 2 + 9x +..
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 and f "(a) ..
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 and f "(a) ..See what our Users say :
very helpful of a complex problem, oh my god I would have never completed this problem with out the tutor. Tutor vista thank u so much.
This is my favorite tutoring ever. i might say that to others to, but this tutoring has thought me the most from any tutorings!! -Ashlyn
THE BEST tutoring i have ever seen and experienced! I am done now, but will most definitely come back for more help when needed. Thanks again tutorvista!!! :) - Carter
The tutor remembered me from last week and noted my improvement. This is simply amazing :)
Looking for More Help!
