AP Calculus Final Exam

What is the limit?

• Infinity
• 20
• DNE
• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

• Intermediate Value Theorem
• Rolle's Theorem
• Average Rate of Change
• Average Value of f

Tags

CCSS.HSF.IF.B.6

• f(a) - f(b)
• f(b) - f(a)
• f '(b) - f '(a)
• f '(a) - f '(b)

What is the derivative of y= 1 - x² + x - 3x⁴

• y^/=x+-2x+1-12x³

• y^/=x-x³/3+x²/2-3x⁵/5

• y^/=-2x+1-12x³

• y^/=2x+1-12x³

Tags

CCSS.HSA.APR.A.1

what is the derivative of y= sin(2x)?

• y^/=cos(2x)

• y^/=2sin(2x)

• y^/=2sin(x)+cos(2x)

• y^/=2cos(2x)

when is the function f(x)=x²+6x+9 increasing?

• (3,∞)

• (-∞,3)

• (-3,-∞)

• (-3,∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What is the speed of the position function f(x)=-3x²-6x-6 at x=2

• -18

• 18

• -6

• 6

Tags

CCSS.HSF.IF.A.2

What is the integral of f(x)=sin(2x)+1/x

• -2cos(2x)+ln(x)+c

• ln(|x|)−cos(2x)/2+C

• ln(|x|)−cos(2x)/2

• ln(|x|)+cos(2x)/2+C

Let f be the function defined by f(x)=4x³-10x+5. Find the equation of the tangent line to the graph of f at the point where x = 1

• y+1=2(x-1)

• y-1=2(x-1)

• y+1=2(x+1)

• y+1=-2(x-1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7