Final Exam Review - Calculus

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

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

The image displays the ______

• Limit definition of the first derivative

• The bane of my existance

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

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

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

Evaluate the integral.  $\int_0^45x\ dx$  

•  $5\left(\frac{16}{2}-\frac{0}{2}\right)+C$  

•  $5\left(\frac{8}{1}-0\right)$  

•  $5\left(\frac{0^2}{2}-\frac{4^2}{2}\right)$  

•  $\frac{5\cdot4}{2}-\frac{5\cdot0}{2}$  

What is the derivative?

• 
• 
• 
• Undefined