ROC, Tangent Lines, and Derivative

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year
• 8 inches per year
• 2 years
• 4 inches per year

Tags

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

the derivative is...

• slope of the secant line
• slope of the tangent line
• slope of the cosecant line
• slope of the normal line

The derivative of a function is its

• Slope
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)

• y=2x-1

• y=2x+2

• y= -x-1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

If f '(x) = 0, what does that mean with respect to the tangent line?

• Tangent line is vertical

• Tangent line has a positive slope

• Tangent line is horizontal

• Tangent line has a negative slope

Which of the following means "first derivative"

• f'(x)
• y'
• dy/dx
• all of the above

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

The image displays the ______

• Limit definition of the first derivative

• The bane of my existance

The normal to the curve is 

• the derivative
• the integral
• perpendicular to the tangent  to the curve
• the tangent to the curve

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5