104/184 Quiz #3 - P1
October 22/23
First Name:
Last Name:
Student-No:
Section:
Grade:
Very short answer questions
1. 2 marks Each part is worth 1 mark. Please write your answers in the boxes.
(a) Differentiate ln(x2 + cos x)
Answer:
(b) Evaluate tan
2π
3
Answer:
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
dq
(a) Find the
if pq + ep = ln q
dp
Answer:
√
(b) The cost function of a compnay is given by C = 80 + 10 4 q. Approximate the cost of
producing the 82nd unit.
Answer:
Long answer question — you must show your work
3. 4 marks Find the equation of the tangent line to y = (x3 + 1)ln x when x = 1. Please place a
box around your final answer.