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Course: Differential Calculus?>?Unit 5
Lesson 10: Connecting f, f', and f''- 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 first derivative
Problem
The differentiable function and its derivative are graphed.
What is an appropriate calculus-based justification for the fact that has a relative maximum point at ?