Calculus Rules Review

Another word for 'integral' is .. .

• Constant
• Derivative
• Antiderivative
• Theorem

• cosx
• -cosx
• -sinx cosx
• sinx cosx

• sinx
• -sinx
• -cscx cotx
• sec²x

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

Tags

CCSS.HSF.IF.B.4

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

The image displays the ______

• Limit definition of the first derivative

• The bane of my existance

What is an antiderivative?

• The opposite of a derivative
• The same as a derivative
• A second derivative
• It always represents velocity.

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.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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

Tags

CCSS.HSG.GMD.A.1