Math 1100
Learning Centre
Calculus Crisscross
ACROSS
3 One application of calculus is
_____ approximation; also, the
kind of function where ƒ′(x) = c
6 limx→0+ 1⁄x is an example of a
_____ 31-Across [hyph.]
9 A line that touches a curve at
only one point
11 ∫ x² dx, for example; also,
absolutely necessary
12 If on (a, b), ƒ′′ is negative, that
section is concave _____
14 The derivative of a constant
16 What the T in IVT stands for
19 Describes a smooth curve with
no gaps or breaks
21 If for a section of a curve, ƒ′ is
positive, that section is _____
22 Endpoints of 24-Acrosses are
marked by open and closed
_____
24 A defined section of a function or
graph, such as [2, 8)
26 The symbol ′ in “ƒ′ ”
27 If s(x) is the displacement of an
object, then s′(x) is its _____
29 One application of calculus is
solving related _____ problems
31 An approximation of ƒ(x) based
on ƒ(x ± h) for h close to 0
32 “If ƒ(x) = xn, then ƒ′(x) = nxn−1” is
called the _____ Rule
33 [ƒ(x + h) − ƒ(x)] / h is called the
_____ 2-Down
DOWN
1 Kind of circle used to calculate
trig ratios
2 “If F(x) = ƒ(x) / g(x), then F′(x) =
[ƒ′(x)g(x) − ƒ(x)g′(x)] / g(x)²” is
called the _____ Rule
3 One of the two people credited
with inventing calculus
4 In limx→0− 1⁄x, the “−” tells you to
evaluate from the _____
5 One of the two people credited
with inventing calculus (though
he’s more famous for physics)
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14 15
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7 To find ƒ′(x) from ƒ(x)
8 The small quantity δ from the
definition of FTC
10 What “→” means in
13 Describes a discontinuity at x = c
that can be resolved by defining
a value for ƒ(c)
15 The small quantity ε from the
definition of FTC
17 Describes a 31-Across that
exists, but is not a constant
18 Describes a function that is
defined differently for different
parts of its domain
20 limx→0 sin x⁄x (worth memorizing!)
© 2013 Vancouver Community College Learning Centre.
Student review only. May not be reproduced for classes.
23 In clue 27-Across we took the
derivative with respect to _____
25 One example of a discontinuity,
especially in rational functions
26 Calculus is useful in _____ as
well as in theory; also, one way
to get better at calculus
27 What the V in MVT stands for
28 “If F(x) = ƒ(g(x)), then F′(x) =
ƒ′(g(x)) · g′(x)” is called the
_____ Rule
30 ƒ′′ is called the _____ derivative
AuthoredbybyEmily
Darren
Rigby
Simpson
SOLUTION
Across.
(3) linear
(6) one-sided
(9) tangent
(11) integral
(12) down
(14) zero
(16) theorem
(19) continuous
(21) increasing
(22) dots
(24) interval
(26) prime
(27) velocity
(29) rates
(31) limit
(32) power
(33) difference
Down.
(1) unit
(2) quotient
(3) Leibniz
(4) left
(5) Newton
(7) derive
(8) delta
(10) approaches
(13) removable
(15) epsilon
(17) infinite
(18) piecewise
(20) one
(23) time
(25) asymptote
(26) practice
(27) value
(28) chain
(30) second
© 2013 Vancouver Community College Learning Centre.
Student review only. May not be reproduced for classes.
AuthoredbybyEmily
Darren
Rigby
Simpson