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Note 1:
We cannot obtain c if any one of the conditions of Rolle's theorem are not satisfie..
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..
Example 1:
A wet porous substance in the open air loses its moisture at the rate proportional to the moisture content. If a sheet hung in the wind loses half of its moisture during the first hour, when will it have lost? (i) 95% moisture, weather condition remaining constant (ii) 90% moisture, weather condit..
Example 1:
Differentiat..
Differentiat..Example 1:
Differentiate xe x from the first principles (that is using definition of derivative..
Note 1:
We say that f(x) is continuous if f(x) is continuous at every point in its domai..
Step 1:
Find f '(..
Result
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