Have an account?
Skip to Content
Introducing new Paper mode
No student devices needed. Know more
18 questions
Show Answers
See Preview
- Multiple ChoicePlease save your changes before editing any questions.
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
- Multiple ChoicePlease save your changes before editing any questions.cosx-cosx-sinx cosxsinx cosx
- Multiple ChoicePlease save your changes before editing any questions.sinx-sinx-cscx cotxsec2x
- Multiple ChoicePlease save your changes before editing any questions.Find f(2).1-15DNE
- Multiple ChoicePlease save your changes before editing any questions.Find the limit of the function as x approaches 2.1-15DNE
- Multiple ChoicePlease save your changes before editing any questions.If 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
- Multiple ChoicePlease save your changes before editing any questions.The acceleration function is the first derivative of...positionvelocitycalculusparticle motion
- Multiple ChoicePlease save your changes before editing any questions.
The image displays the ______
Limit definition of the first derivative
The bane of my existance
- Multiple ChoicePlease save your changes before editing any questions.What is an antiderivative?The opposite of a derivativeThe same as a derivativeA second derivativeIt always represents velocity.
- Multiple ChoicePlease save your changes before editing any questions.Find the derivative of the given equation
f(x) = 7707x14 - Multiple ChoicePlease save your changes before editing any questions.Differentiate y= 12x-224x-1-24x-3-24x-16x-3
- Multiple ChoicePlease save your changes before editing any questions.
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.
- Multiple ChoicePlease save your changes before editing any questions.
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.
- Multiple ChoicePlease save your changes before editing any questions.
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
- Multiple ChoicePlease save your changes before editing any questions.
Rate of change is another way of saying...
The gradient
The slope
dy/dx
- Multiple ChoicePlease save your changes before editing any questions.
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
- Multiple ChoicePlease save your changes before editing any questions.
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.
- Multiple ChoicePlease save your changes before editing any questions.
Is differentiating the same as taking the derivative?
yes
no
banana on my rice