104/184 Quiz #2 -P2
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 = 7x4 + 2eπ .
Answer:
(b) Differentiate s(t) = t2 · (3et ) with respect to t.
Answer:
Short answer questions — you must show your work
2. 4 marks Each part is worth 2 marks.
(a) The following limit represents the slope of a curve y = f (x) at the point (a, f (a)). Determine a possible function f (x) and number a.
3x2 + 4x − 7
x→1
x−1
lim
Answer:
(b) Find the equation of the tangent line to y =
x
when x = 1.
ex
Answer:
Long answer question — you must show your work
3. 4 marks Determine the value of a and b for which
3
x,
x<1
f (x) =
ax + b, x ≥ 1
is differentiable at x = 1. Sketch a graph of your solution.
Answer: