AP Calc Unit 3

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

• f'(x) = 7
• f'(x) = 0
• f'(x) = 7x
• f'(x) = 14

Find the derivative of the given function
f(x) = 1/x²

• f'(x) = 1/2x
• f'(x) = -2x
• f'(x) = 2x
• f'(x) = -2/x³

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2

Find the derivative of the given equation
f(x) = x³ + x² + 3

• f'(x) = 3x² + 2x
• f'(x) = 3x + 2x 
• f'(x) = 3x + 2x + 3
• f'(x) = x³ + x² 

The derivative of a function is its

• y-intercept
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Find the slope of the tangent line of  y= 3x² - 5 when x = 2

• 10
• 11
• 12
• 13

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Given position s(t)=4t²-6, find velocity at t = 2. 

• 2 meters/sec
• 8 meters/sec
• 16 meters/sec
• 10 meters/sec

Find the equation of the line tangent to y at the given point. 

• y=-x-3
• y+2=-1(x-1)
• y+1=-2(x+1)
• y=-x+3

Tags

CCSS.HSA.REI.C.7

If the position function for a particle is s(t) = -t² - t, what is the expression for the instantaneous velocity for the particle? 

• v(t) = -2
• v(t) -2t - 1 
• v(t) = t³
• v(t) = -t