Have an account?
Skip to Content
Build your own quiz
18 questions
Show Answers
See Preview
- 1. Multiple Choice
Which of the following is true?
the derivative is a way to show rate of change, that is - the amount by which a function is changing at one given point
dx/dy is the derivative
- 2. Multiple Choice
cosx-cosx-sinx cosxsinx cosx - 3. Multiple Choicesinx-sinx-cscx cotxsec2x
- 4. Multiple ChoiceFind f(2).1-15DNE
- 5. Multiple ChoiceFind the limit of the function as x approaches 2.1-15DNE
- 6. Multiple ChoiceIf a function has a derivative that is negative, what does that tell you?The function is increasingThe function is decreasingThe concavity of the function is upThe concavity of the function is down
- 7. Multiple ChoiceThe acceleration function is the first derivative of...positionvelocitycalculusparticle motion
- 8. Multiple Choice
The image displays the ______
Limit definition of the first derivative
The bane of my existance
- 9. Multiple ChoiceWhat is an antiderivative?The opposite of a derivativeThe same as a derivativeA second derivativeIt always represents velocity.
- 10. Multiple ChoiceFind the derivative of the given equation
f(x) = 7707x14 - 11. Multiple ChoiceDifferentiate y= 12x-224x-1-24x-3-24x-16x-3
- 12. Multiple Choice
If f'(x) = 0 what does that imply about the x value?
It is a critical point, it is a possible max, min, or point of inflection.
That the limit does not exist.
- 13. Multiple Choice
When looking for critical points we did....
- took the limit of the function. 2. Graphed the critical points.
- Found f'(x). 2. Set f'(x) = 0 and solved for x. 3. Created a sign diagram. 4. Took the limit
- Found f'(x). 2. Set f'(x) = 0 and solved for x. 3. Created a sign diagram. 4. Checked out intervals.
- 14. Multiple Choice
When applying calculus. The second derivative helps find...
the distance traveled by an object.
The velocity of a particle at any given point
acceleration of an object at any given time
- 15. Multiple Choice
Rate of change is another way of saying...
The gradient
The slope
dy/dx
- 16. Multiple Choice
Integration is the inverse of differentiation but it applications it can be used to....
find the area under a curve
calculate the force of an object
Find the altitude of an objects perimeter
- 17. Multiple Choice
Which of the following is true.
The derivative is the same as volume
optimization is the same as integration.
The derivative is often written using "dy over dx" (meaning the difference in y divided by the difference in x). The d's are not
variable, and therefore cannot be cancelled out.
- 18. Multiple Choice
Is differentiating the same as taking the derivative?
yes
no
banana on my rice
- Answer choicesTagsAnswer choicesTags