Business Calculus Review

What is the limit?

• DNE
• Infinity
• 6
• 12

Tags

CCSS.HSF.IF.A.2

Find the limit as x approaches 3 from the left

• 4
• 3
• 2
• DNE

Tags

CCSS.HSF.IF.A.2

 $\lim_{x\rightarrow-3}\frac{x^2+4x+3}{x^2-3}$  

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

What is the derivative of f?

• 1/(x - 1)^-1

• -1/(x - 1)^-2

• -1/(x - 1)

• -1/(x - 1)²

What is the 2nd derivative of y = 2x³ - 4x + 6

• 6x² - 4

• 12x - 4

• 12x

• 6x

Identify the critical points of the following function:
g(x)=2x³-3x²

• x=-1,1
• x=0,0
• x=0,-1
• x=0,1

What is the relative maximum value?

• y = 4
• y = 2
• y = 1
• y = -1

 $f\left(x\right)=\frac{2}{3}x^3-6x^2+16x+14$  
Find the critical numbers of f(x).   Select ALL that apply

• x=2

• x=0

• x= -4

• x= -2

• x = 4