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- 1. Multiple ChoiceWhat is the derivative of sin(x)?sin(x)cos(x)-sin(x)-cos(x)
- 2. Multiple ChoiceFind the derivative of the given equation
f(x) = 7707x14 - 3. Multiple ChoiceFind the derivative of the given equation
g(x) = 6 + ⅔x6126 + ⅔⅔ - 4. Multiple ChoiceFind the derivative of the given equation
f(x) = 1/x2 (hint: use your pink sheet)1/2x-2x2x-2x-3 - 5. Multiple ChoiceFind the derivative of the given equation
f(x) = x4 + 4x3 - 2x2x3 + x2 - x4x3 + 12x2 + 4x4x + 12x - 4x4x3 + 12x2 - 4x - 6. Multiple ChoiceWhich if the following is not a correct notation for 'derivative?'f'(x)y'x'dy/dx
- 7. Multiple ChoiceIf a function has a derivative that is negative, what does that tell you?The function is increasingThe function is decreasing
- 8. Multiple ChoiceIf a function has a derivative that is positive, what does that tell you?The function is increasingThe function is decreasing
- 9. Multiple ChoiceIf a function has a second derivative that is positive, what does that tell you?The function is increasingThe function is decreasingThe function is concave upThe function is concave down
- 10. Multiple ChoiceIf a function has a second derivative that is negative, what does that tell you?The function is increasingThe function is decreasingThe function is concave upThe function is concave down
- 11. Multiple Choice
Does this graph have a maximum or minimum value?maximumminimumneitherboth - 12. Multiple ChoiceDoes
y = -4x2
have a maximum or minimum value?maximumminimumbothneither - 13. Multiple Choicemax is 4 at x = 0max is 4 at x = 3max is 3 at x = 5No maximum
- 14. Multiple ChoiceWhere is this decreasing?(-∞, -2.55) U (0, 2.55)(+∞, -6.25) U (36, -6.25)(-∞, ∞)(-∞, 0)
- 15. Multiple ChoiceHow many extrema are in the picture?2345
- 16. Multiple ChoiceIf f"(x) >0, what is true about f(x)?it is concave up thereit has an inflection pointIt's zeroit is concave down there
- 17. Multiple ChoiceIf f '(x) >0, what is true about f(x)?it is concave up thereit has an inflection pointIt's increasingit is concave down there
- 18. Multiple ChoiceIf f '(x) <0, what is true about f(x)?it is concave up thereit's decreasingIt's increasingit is concave down there
- 19. Multiple ChoiceWhat will be true at an inflection point?f(x)=0f'(x)=0f ''(x)=0The function is undefined
- 20. Multiple ChoiceIf you are looking at a sign chart, how do you find an inflection point?See where it goes from + to -See where it goes from + to +See where it goes from - to +give up
- 21. Multiple ChoiceAt what x-value(s) does f(x) have a minimum?x = -3x = 1x = 5x = -3 and x = 5
- 22. Multiple ChoiceOver what interval(s) is f(x) decreasing?(-3, 1)(-∞, -5) ∪ (0, 2)(-∞, -3) ∪ (1, ∞)(-5, 0) ∪ (2, ∞)
- 23. Multiple ChoiceOver what interval(s) is f(x) increasing?before -3 and after 1between -3 and 1(-5, 0) ∪ (2, ∞)(-5, ∞)
- Answer choicesTagsAnswer choicesTags