AP Calculus Test

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

• -18

• 18

• -6

• 6

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)

If g is the inverse function of F and f(2)=3, find the value of g'(3) for F(x)=6x²+2x-1

• 1/24

• 1/25

• 1/26

• 26

Tags

CCSS.HSF-BF.B.4C

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

• infinity

• negative infinity

• 0

• 1

What are the vertical asymptotes of the function f(x)=(x²-9)/(x²+6x+9)

• x=3

• x=-3

• x=3,-3

• no vertical asymptote

Tags

CCSS.HSF-IF.C.7D

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

• negative infinity

• e

• infinity

• 0