page 39: in the box, the limit of sin x/x is 1, not 0.
Page 67: the equation between equations (34) and (35) should be x=a.
page 70: Theorem 33.1 should include the hypothesis that f is differentiable
page 70: in the definitions of non-increasing and non-decreasing, the definitions are inverted (not in the summary, in the actual definition). Also, one of them says f(b)>=f(b), which is true, but it should read f(a)>=f(b).
page 76: the theorem says the first case will be a max, the second will also be a max. It should say the first is a min, the second a max.
page 92: …so, in the long run, for very large x, 1.001x will be much larger than 1000x… is wrong: 1000x was supposed to be x1000.
Problem 156: The solution should be -3 cos(cos(3x)) sin(3x). There is an extra x in the product.
Problem 159, I'm getting f'(x)= 2(cos x)(-sin x) + sin(x2) (2x). This answer doesn't correspond to prof. angenent's answer on his answer key.
Answer to problem 165: part b, it is possible that (A=0) or (a=0 and b=k*π). In other words the any choice of A, a, b for which the function f(x) is just the zero function (f(x) = 0 for all x) also is a valid answer.
Answer to problem 168: the first line should be cos(xy) (y + x dy/dx) = 0
Answer to problem 179: in the numerator the “x” should be “y” instead.
Answer to problem 203: the area of triangle should be 2 sin (θ(t)) instead of sin (θ(t))
Answer to problem 204: the answer should be 9/40 instead of -9/40. As P going to the left, the angle gets bigger.
Problem 206 (d): I meant the angle between y-axis and the line segment OP. Most people wold write that as the angle ∠POQ or ∠QOP but not ∠OPQ.