Introduction
During the course of study of Mathematics, we must have come across several parts of inverse operations like (addition, subtraction) (multiplication, division) (forming an equation whose roots are given - solving a given equation) and so on. In practical situations, we may be interested t..
During the course of study of Mathematics, we must have come across several parts of inverse operations like (addition, subtraction) (multiplication, division) (forming an equation whose roots are given - solving a given equation) and so on. In practical situations, we may be interested t..Note 1:
We cannot obtain c if any one of the conditions of Rolle's theorem are not satisfie..
Step1:
We know that every polynomial function is continuous and product of continues functions are continuous. f (x), being product of polynomials of degree 1, is a continuous function in [4,10..
Step 1:
Show the function f (x) is continuous on the closed interval [a, b..
Step 1
For a differentiable function f (x), find f '(x). Equate it to zero. Solve the equation f '(x) = 0 to get the Critical values of f (x..
Step 1:
Show that the function is continuous in the given interval. Some known standard functions which are continuous, can be mentioned directl..
Note 1:
The area bounded by the curves f(x) and g(x) and the ordinates x = a and x = b is given by ..
The area bounded by the curves f(x) and g(x) and the ordinates x = a and x = b is given by ..Example 1:
Form a differential equations by eliminating 'a' from the family of curves y 2 =4a..
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