this theorem allows calculations of area using anti-derivatives. what is the fundamental theorem of...
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This theorem allows calculations of area using
anti-derivatives.
What is The Fundamental Theorem
of Calculus?
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“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?
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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?
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What the theorem of integration of even and odd functions says that
. is equal to for an odd function.
What is Zero?
a
a
f (x)dx
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This theorem says that
What is The Power Rule?
n 1n x
x dx Cn 1
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e raised to this power is equal to 5.
What is ln 5?
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What is ?x c
f (x) f (c)lim
x c
This is the formula to find the derivative of a function at c.
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This is the sum of areas of rectangles whose heights are the outputs of a function.
What is a Riemann Sum?
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The product of x and y even though y may vary.
What is a definite integral?
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defines this value.
What is the average value of f(x) [on the interval from a to b] ?
b
a
1f (x)dx
b a
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is the derivativeof this function.
What is 1/2 tan (2x)?
2sec (2x)
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The integral which represents
What is ?
2ln | x | C
12 dx
x
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is this.
What is ?
2x5 dx2x5
C2ln 5
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The derivative of this type of function is always a constant.
What is a linear function?
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This integral represents the area of a circle of radius 1.
What is ?1
2
1
2 1 x dx
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This technique determines if a critical point is a relative extrema by checking the concavity at that point.
What is the Second Derivative Test?
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This technique generates the formula for exponential
growth and is used to solve some differential equations.
What Separation of Variables?
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In order to create a simpler integrand, one might use this
technique to rewrite the following:
What is u-substitution?
1
dxx 1 x
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The act of making both sides of an equation into powers.
What is exponentiation?
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A simple method used to approximate a definite integral.
Even an elementary school student could use this method.
What is counting squares?
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This is added to all indefinite integrals.
What is a constant?
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This is measured by the Second Derivative of a
function.
What is concavity?
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A function being differentiable implies
that it is this also.
What is continuous?
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This allows f(g(x)) to be differentiated.
What is the Chain Rule?
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A conditional statement whose “if” and “then” parts
have been switched.
What is the converse of the statement?
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DAILYDOUBLE
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DAILYDOUBLE
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FINALJEOPARDY
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CALCPARDY
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