MAT 1339 C
Assignment 3 (Due WED. NOV. 17th, 5:30)
Student Number:
Name:
Problem 1: Find the equation of the tangent line to the graph of f (x) = cos(ex5 1) + x at the point
(5, 6). Hint: Recall that such an equation has the form y = mx + n. What is the m
MAT 1339 C
Assignment 2 (Due MON. NOV. 1st, 5:30)
Student Number:
Name:
Problem 1: Find the equation of the tangent line to the graph of f (x) = x2 sin(2x) at x = .
Work: Compute f (x) = 2x sin(2x) + x2 cos(2x)2 by product rule (and chain rule). Plug in a
MAT 1339 C
Assignment 1 (Due Wed. Sept. 29th, 5:30 pm)
Student Number:
Name:
Problem 1: [1 mark] Using the denition of a derivative nd f (x) if f (x) = x3 2x + 2010.
Solution:
f (x + h) f (x)
h0
h
(x + h)3 2(x + h) + 2010 (x3 2x + 2010)
= lim
h0
h
2
2
(3x