Calculus Fall Final 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,∞)

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

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

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

What is the limit?

• Infinity
• 20
• DNE
• 12