Note 2:
The value of c need not be uniqu..
Working Rule for Verifying Rolle's Theorem
Let f (x) be a function defined on [a, b..
Step 2:
Differentiate f (x) and examine if f '(x) is defined at every point in the open interval (a, b..
Note 3:
Equation of the tangent at (x 1 ,y 1 ) is or ..
Equation of the tangent at (x 1 ,y 1 ) is or ..Example:
Find the equation of the tangent to the curve which is parallel to the line 4x - 2y + 5 = ..
Find the equation of the tangent to the curve which is parallel to the line 4x - 2y + 5 = ..
..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 ..Note 3:
If f (a) and f (b) are opposite in sign then the curve crosses the x-axis say at c. Then the area bounded the curve f (x), x-axis and the ordinates x = a and x = b is ..
If f (a) and f (b) are opposite in sign then the curve crosses the x-axis say at c. Then the area bounded the curve f (x), x-axis and the ordinates x = a and x = b is ..Solution:
Let us find the values of x in the given interval, for which f(x) = 0 x 3 - x 2 - 2x = 0 x(x 2 - x - 2) = 0 Partition the domain [-1, 2] to subintervals [-1, 0] and [0, 2] ..
Let us find the values of x in the given interval, for which f(x) = 0 x 3 - x 2 - 2x = 0 x(x 2 - x - 2) = 0 Partition the domain [-1, 2] to subintervals [-1, 0] and [0, 2] ..See what our Users say :
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