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1-Section 11.4: Calculus
1-Section 11.4: Calculus
15
Mathematics
Undergraduate 1
08/31/2016

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Term
How do you find f prime of the following problem?:

f1(A), f1(0), and f1(-B)

f1(x)=Cx+D
------------------------
Definition
1.) What is the Solution Is:
C
For All Parts
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Term
How do you find f prime of the following problem?:

f1(13), f1(0), and f1(-12)

f1(x)=10x+11
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Definition
1.) The Solution Is:
10
For All Parts
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Term
How do you find the Derivative of this?
Ax^2+Bx+C
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Definition
1.) ((2*A)x)+B
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Term
How do you find the Derivative of this?
Ax^2+Bx
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Definition
1.) ((2*A)x)+B
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Term
How do you find f prime of the following problem?:

f(x)=(Ax^2)+Bx

Find f1(C), f1(0), f1(-D)
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Definition
1.)Find the Derivative of This Function

f(x)=(Ax^2)+Bx

a.) ((2*A)x)+B
b.) 2Ax+B
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2.) Place "C" in place of "x"

a.)2A(C)+B
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3.) Place "0" in for "x"

a.)2A(0)+B
b.)0+B
c.)B
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4.) Place "-D" in place of "x"

a.)2A(-D)+B
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Term
How do you find f prime of the following problem?:

f(x)=(5x^2)+14x

Find f1(2), f1(0), f1(-1)
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Definition
1.)Find the Derivative of This Function

f(x)=(5x^2)+14x

a.) ((2*5)x)+14
b.) 10x+14
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2.) Place "2" in place of "x"

a.)10(2)+14
b.)20+14
c.)34
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3.) Place "0" in for "x"

a.)10(0)+14
b.)0+14
c.)14
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4.) Place "-1" in place of "x"

a.)10(-1)+14
b.)-10+14
c.)4
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Term
How do you find f prime of the following problem?:

f(x)=(-Ax^2)-Bx

Find f1(C), f1(0), f1(-D)
--------------------
Definition
1.)Find the Derivative of This Function

f(x)=(-Ax^2)-Bx

a.) (-(2*A)x)-B
b.) -2Ax-B
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2.) Place "C" in place of "x"

a.)-2A(C)-B
------------------------
3.) Place "0" in for "x"

a.)-2A(0)-B
b.)0-B
c.)-B
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4.) Place "-D" in place of "x"

a.)-2A(-D)-B
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Term
How do you find f prime of the following problem?:

f(x)=-A/x

Find f1(C), f1(0), f1(-D)
--------------------
Definition
1.)Find the Derivative of This Function

f(x)=-A/x

a.) -A/x
b.) A/(x^2)
---------------------
2.) Place "C" in place of "x"

a.)A/(C^2)
------------------------
3.) Place "0" in for "x"

a.)A/(0^2)
b.)A/0
c.)Undefined
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4.) Place "-D" in place of "x"

a.)A/(-D^2)
--------------------
Term
How do you find f prime of the following problem?:

f(x)=A/x-1

Find f1(C), f1(0), f1(-D)
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Definition
1.)Find the Derivative of This Function

f(x)=A/x-1

a.) -A/((x-1)^2)
---------------------
2.) Place "C" in place of "x"

a.)-A/((C-1)^2)
------------------------
3.) Place "0" in for "x"

a.)-A/((0-1)^2)
b.)-A/(-1^2)
c.)-A/1
d.)-A
-------------------
4.) Place "-D" in place of "x"

a.)-A/((-D-1)^2)
--------------------
Term
How do you find f prime of the following problem?:

f(x)=(sqrt 18x)

Find f1(-A), f1(0), f1(B)
--------------------
Definition
1.)Find the Derivative of This Function

f(x)=(sqrt 18x)

a.) 18/(sqrt 18x)+ (sqrt 18x)
b.) 18/2(sqrt 18x)
c.) 18/6(sqrt 2x)
d.) 3/(sqrt 2x)
---------------------
2.) Place "C" in place of "x"

a.)3/(sqrt 2(-A))
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3.) Place "0" in for "x"

a.)3/(sqrt 2(0))
b.)3/0
c.)Undefined
-------------------
4.) Place "B" in place of "x"

a.)3/(sqrt 2B)
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Term
How do you find f prime of the following problem?:

f(x)=(sqrt 15x)

Find f1(-A), f1(0), f1(B)
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Definition
1.)Find the Derivative of This Function

f(x)=(sqrt 15x)

a.) 15/(sqrt 15x)+ (sqrt 15x)
b.) 15/2(sqrt 15x)
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2.) Place "C" in place of "x"

a.)15/2(sqrt 15(-A))
b.)Imaginary Number
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3.) Place "0" in for "x"

a.)15/2(sqrt 15(0))
b.)15/(2*0)
c.)15/0
d.)Undefined
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4.) Place "B" in place of "x"

a.)15/2(sqrt 15(B))
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Term
If the derivative of:

f(x)=(sqrt(x))

Is Equal to:

f(x)=((1)/(2(sqrt(x))))

If x = "A" which is a perfect square

And the solution to (sqrt(A))=B

What is the equation of the tangent line?
-----------------------
Definition
y = (1/(2(sqrt(A)))x + ((sqrt(A))/2)
Term
If the derivative of:

f(x)=A/x

Is Equal to:

-A/(x^2)

If x = "-B"

What is the equation of the tangent line?
-----------------------
Definition
1.)Solve for "y"

a.) y=(-A/(B^2))x-((A*2)/B)
------------------------
Term
What is The Derivative of?
A(sqrt B)
------------------
Definition
A(1/B)
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Term
What is the Line Equation?
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Definition
y-y1=m(x-x1)
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