applied calculus 2


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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..
Application of Derivatives Animation
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Derivative of Sum of Two Functions
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Example 2:
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Step 2:
Find f '(x) and examine if it is defined at every point on the open interval (a, b). If f '(x) is defined for all x (a, b), then the function is differentiabl..
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..
Note 2:
The value of c need not be uniqu..
Note 2:
If curve f (x) lies above the x-axis and g (x) lies below the x-axis then area bounded by f (x) and g (x) is ..
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