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Application of Derivatives Introduction
Introduction - Let us began this chapter with the following statement: Often a physician may want to test how small changes in dosage can affect the body's response to a particular drug. An economist may want to study how investment changes with variation in interest rates. How the veloci..
Step 2
For a particular Critical value x = a, find f " ' (a) (i) If f ''(a) < 0 then f (x) has a local maxima at x = a and f (a) is the maximum value. (ii) If f ''(a) > 0 then f (x) has a local minima at x = a and f (a) is the minimum value. (iii) If f ''(a) = 0 or , the test fails and the first d..
For a particular Critical value x = a, find f " ' (a) (i) If f ''(a) < 0 then f (x) has a local maxima at x = a and f (a) is the maximum value. (ii) If f ''(a) > 0 then f (x) has a local minima at x = a and f (a) is the minimum value. (iii) If f ''(a) = 0 or , the test fails and the first d..Conclusion Differentiation
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 vario..
Conclusion
In this chapter, we have studied various types of functions and their graphs. The use of graphs also facilitate the study of domain and range of functions...
Introduction
Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply..
Conclusion
In this chapter we have studied the properties of definite integrals and application of definite integrals in evaluating the area of plane curve..
Conclusion Definite Integrals
Conclusion Definite Integrals - In this chapter we have studied the properties of definite integrals and application of definite integrals in evaluating the area of plane curves.In this chapter we have studied the properties of definite integrals and application of definite inte..
Introduction to Differentiation
After having studied functions, limits and continuity in the previous chapter, we shall further divide the class of continuous functions into two sub classes, derivable and non-derivable.After having studied functions, limits and continuity in the previous chapter, we shall furt..
Curve Sketching
The graph of a given function gives a visual presentation of the behaviour of the function involving a study of symmetry, rise and fall, region of existence, passage through specific points etc. The following points are helpful to trace the curv..
Introduction
In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficient..
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