22 AP Calculus AB Review

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

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,∞)

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)

what is the limit as x approaches infinity of the function f(x)= (3x-5)/(5x²+4)

• infinity

• negative infinity

• 0

• 1

Tags

CCSS.HSF-IF.C.8B

what is the limit when x approaches infinity of the function f(x)=e^x

• negative infinity

• e

• infinity

• 0

what is the average rate of change of the function f(x)=x²-6x+6 from 2 to 6?

• 4

• 2

• 3

• 23/4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the volume of a solid generated by the graph bounded by y=x² and the line y =9 when it is revolved around the x-axis

• 456

• 610.73

• 194.4

• 610.726

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the area of the region bounded by the curves y=x² and y=√x

• .444

• .666

• .333

• .456

Tags

CCSS.HSF-BF.B.4A