Calculus Review UB 2020

 $\lim_{x\rightarrow25}$   $\frac{\sqrt{x}-5}{x-25}$  

•  $2$  

•  $-\frac{1}{3}$  

•  $\frac{1}{10}$  

•  $\frac{8}{17}$  

 $\lim_{x\rightarrow2}$   $\frac{\sqrt{x-1}-1}{x-2}$  

•  $-\frac{1}{4}$  

•  $-\frac{9}{8}$  

•  $-\frac{7}{5}$  

•  $\frac{1}{2}$  

 $\lim_{x\rightarrow-3}$   $\frac{x}{\frac{1}{3+x}-\frac{1}{3}}$  

•  $4$  

•  $0$  

•  $-25$  

•  $-\frac{1}{16}$  

• 0/0
• DNE
• -1/4
• 1/4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the limit?

• 3
• -3
• ∞
• DNE

Given that f(x) = x² - 3x, which of the following represents f(x + h)

• x² - 3x + h
• x + h² - 3x + h
• (x + h)² - 3(x + h)
• x² + h - 3x + h

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

 $\lim_{h\rightarrow0}\left(\frac{5\left(x+h\right)^2-5x^2}{h}\right)$  

•  $5x^2$  

•  $10x$  

• 10

• DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find g'(x) if g(x)=4x³

• 12x³
• 4x²
• 3x⁴
• 12x²

Tags

CCSS.HSF.IF.A.2

Find h'(t) if h(t)=5x³-2x

• 3x²
• 15x²-2
• 15x²
• 15x²-2x

Tags

CCSS.HSF.IF.A.2

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

Tags

CCSS.HSF.IF.A.2