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Integration using trigonometric identities
When the integrand consists of trigonometric function, we use suitable trigonometric identities to simplify the function so that it can be integrated. Few identities are given below for ready reference. (1) (2) (3) (4) (5) (7) (..
Trigonometric functions
Trigonometric functions are sinx, cosx, tanx, etc. The graph of these functions have been done in class X..
Solving First Order First Degree Differential Equation
Solving First Order First Degree Differential Equation - The different ways of solving differential equation are a follows:The different ways of solving differential equation are a follows: Method of separation of variables Homogeneous differential equations Linear dif..
Some Methods of Solving First Order First Degree Differential Equation
The different ways of solving differential equation are a follows: (a). Method of separation of variables, (b). Homogeneous differential equations, (c). Linear differential equation..
Derivative of Inverse Trignometric Functions
Derivative of Inverse Trignometric Functions - Before finding the differentiation of inverse trigonometric functions, recall how the inverse trigonometric functions are defined and what the domain and range of each inverse trigonometric function. For ready reference, t..
Differentiation by Substitution
Differentiation of certain functions seem to be very difficult, but by suitably substituting the independent variable with some trigonometric function or other functions, they can be differentiated easily.Differentiation of certain functions seem to be very difficult, but by suitably subs..
Limits (Contd....)
Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose Since f is sandwiched between two functions g and h, the above theorem is known as sandwich theore..
Conclusion Differential Equations
In this chapter we have the formation of differential equations and also some methods of solving the differential equations namely, variables separable methods, homogeneous differential equations and linear differential equations.In this chapter we have the formation of differential equat..
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..
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