Derivatives and Applications

• -10/3
• 10/3
• -2/3
• 2/3

• 1/2
• -1/2
• 0
• 3/2

• -4
• 2
• 0
• -8

• 4
• 1
• -4
• 0

The population of a town x years after 2000 is modeled by P(x).  What is the best interpretation of P'(10) = 50.

• In 2010, the population was increasing 50 people per year.
• In 2010, the population was 50 people.
• It took 10 years for the population to increase by 50 people.
• The average change in population over the 10 years was 50 people per year.

The tangent line to f(x)=x³+kx² at x = 1 is parallel to the line containing points (2, 9) and (3, 10).  What is the value of k?

• -2
• -1
• 1
• 2

Tags

CCSS.HSG.GPE.B.5

• A
• B
• C
• D

• The function is continuous at x=0.
• The function is differentiable at x=0.
• The function is continuous at x=3.
• The function is differentiable at x=3.

What is the equation of the line tangent to y= x²+2x-1 at x=1?

• y=2x
• y=4x-2
• y=4x
• y=2x-2

• -1/4
• 1/4
• π/4
• -π