Calculus Review Part Deux

What is the limit?

• 5/2
• -2/3
• ∞
• 17/3

What is the limit?

• ∞
• 20
• DNE
• 12

What is the limit?

• DNE
• ∞
• 6
• 12

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

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• m = 12
• m = -9
• m = -12

If the position function for a particle is s(t) = -t² - t, what is the velocity function for the particle? 

• v(t) = -2
• v(t) -2t - 1 
• v(t) = t³
• v(t) = -t

Find the derivative f(x) = (x² + 2x)⁵

• f'(x) = 5(2x+2)⁴
• f'(x) = 5(x² + 2x)⁴
•  f'(x) = 5(x² + 2x)⁴(2x)
• f'(x) = 5(x² + 2x)⁴(2x + 2)

Find the derivative f(x) = tanxcosx

• f'(x) = sec²xcosx - tanxsinx
• f'(x) = sec²xcosx + tanxsinx
• f'(x) = sec²xsinx
• f'(x) = sec²xcosx - tanxcosx

What is the limit as x approaches -1

• 0
• Infinity
• -Infinity
• What are you talking about?!?!?

Find the limit of the function as x approaches 4 from the right.

• -1
• 2
• -2
• DNE