104/184 Quiz #2 -P1
October 8/9
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 y = x2 + ex .
Answer:
(b) Differentiate R(q) = q · (eq + 3q 3 ) with respect to q.
Answer:
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
(a) Find all values of c such that the following function is continuous at x = c:
8 − cx, x ≤ c
f (x) =
x2 ,
x>c
Answer:
(b) Find the equation of the tangent line to y =
3x2
when x = 1.
1+x
Answer:
Long answer question — you must show your work
3. 4 marks Use the definition of the derivative, i.e. the limit process, to find the derivative of
y=
3
.
2x + 1