Applications of Differentiation
Application of Differentiation
- The Extreme Value Theorem
If f is continuous on a closed interval [a,b], f has an absolute max value f(c)and absolute min value f(d) at c and d in the interval [a,b]
- Fermat's Theorem
If f has a local max or min at c, and f'(c) exists, f'(c)=0
- Critical Number
A number c in the domain of f such that f'(c)=0 or f'(c) doesn't exist
- Closed Interval Method
y=x2 Minimum value:0; No Maximum Value
y=x3 No minimum value; No maximum value
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