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Course: AP??/College Calculus BC?>?Unit 5
Lesson 10: Connecting a function, its first derivative, and its second derivative- Calculus-based justification for function increasing
- Justification using first derivative
- Justification using first derivative
- Justification using first derivative
- Inflection points from graphs of function & derivatives
- Justification using second derivative: inflection point
- Justification using second derivative: maximum point
- Justification using second derivative
- Justification using second derivative
- Connecting f, f', and f'' graphically
- Connecting f, f', and f'' graphically (another example)
- Connecting f, f', and f'' graphically
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Justification using second derivative
Problem
The twice differentiable function and its second derivative are graphed.
What is an appropriate calculus-based justification for the fact that has an inflection point at ?