Review Week 8

What would you use first to find the equation of the tangent line at a point?

• y=f(a)-f'(a)(x-a)

  (a is a point on the graph)

• y = mx + b

• y-y1=m(x-x1)

• y=f(a)+f'(a)(x-a)

  (a is a point on the graph)

What does g ∘ f mean?

• f(g)

• f(g(x))

• g(f(x))

• g(f)

What is the derivative of g(f(x))? (this will require the chain rule)

• g'(x)f'(x)

• g'(f(x))

• g'(x)/f'(x)

• g'(f(x))f'(x)

What is the product rule?

• f'g+g'f

• fg'+gf'

• fg+gf

• f'g'+fg

What is the quotient rule?

• 
• 
• 
• 

Match the following

• d/dx ln(x)

• 
• d/dx arctan(x)

• 
• d/dx cot(x)

• 
• d/dx arcsin(x)

• 
• d/dx csc(x)

• 

Mathematical Equivalence

ON

What is the derivative of sin(3x)?

• 3cos(3x)

• 3cos(x)

• -3cos(3x)

• cos(3x)