Download Calculus Jeopardy - Designated Deriver

This theorem allows
calculations of area using
anti-derivatives.
What is The
Fundamental Theorem
of Calculus?
“There is a c between a and b
so that the tangent slope is the
same as the secant slope” is
the conclusion of this theorem.
What is The Mean Value
Theorem?
This theorem can be used
to show that a continuous
function must have a zero
on a specific interval.
What is the Intermediate Value
Theorem?
What the theorem of integration of
even
and
odd
functions
says
that
a
.
is
equal
to
for
an
odd
function.
f
(x)dx

a
What is Zero?
This theorem says that
n 1
x
 x dx  n  1  C
n
What is The Power Rule?
e raised to this power is equal to 5.
What is ln 5?
This is the formula to find the
derivative of a function at c.
What is
f (x)  f (c)
lim
x c
x c
?
This is the sum of areas of
rectangles whose heights are
the outputs of a function.
What is a Riemann Sum?
The product of x and y even
though y may vary.
What is a definite integral?
b
1
defines
this
value.
f
(x)dx

ba a
What is the average
value of f(x) [on the
interval from a to b] ?
2
sec (2x) is the derivative
of this function.
What is
1/2 tan (2x)?
The integral which represents
ln | x | C
2
What is
1
2  dx
x
?
is
this.
5
dx

2x
What is
52x
C ?
2 ln 5
The derivative of this type of
function is always a constant.
What is a linear function?
This integral represents the
area of a circle of radius 1.
1
What is 2

1
1  x dx ?
2
This technique determines if a
critical point is a relative
extrema by checking the
concavity at that point.
What is the Second Derivative
Test?
This technique generates the
formula for exponential
growth and is used to solve
some differential equations.
What Separation of Variables?
In order to create a simpler
integrand, one might use this
technique to rewrite the
following:


1
x 1 x

dx
What is u-substitution?
The act of making both sides of an
equation into powers.
What is exponentiation?
A simple method used to
approximate a definite integral.
Even an elementary school
student could use this method.
What is counting squares?
This is added to all
indefinite integrals.
What is a constant?
This is measured by the
Second Derivative of a
function.
What is concavity?
A function being
differentiable implies
that it is this also.
What is continuous?
This allows f(g(x)) to be
differentiated.
What is the Chain Rule?
A conditional statement
whose “if” and “then” parts
have been switched.
What is the converse of the
statement?
DAILY
DOUBLE
DAILY
DOUBLE
FINAL
JEOPARDY
CALCPARDY
Theorem
Definitions
Derivatives
& Integrals
Techniques
TheLetter C
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