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- 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 pointdx/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 cotxsec
^{2}x - 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
^{-2}24x^{-1}-24x^{-3}-24x^{-1}6x^{-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 notvariable, 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