The following is the beginning of an alternative proof of the Quotient Rule that uses the Product Rule and the Power Rule. Complete the proof, giving reasons for each step. Proof: Let Q ( x ) = N ( x ) D ( x ) . Then Q ( x ) = N ( x ) ⋅ [ D ( x ) ] − 1 . Therefore, …
The following is the beginning of an alternative proof of the Quotient Rule that uses the Product Rule and the Power Rule. Complete the proof, giving reasons for each step. Proof: Let Q ( x ) = N ( x ) D ( x ) . Then Q ( x ) = N ( x ) ⋅ [ D ( x ) ] − 1 . Therefore, …
Solution Summary: The author explains that the quotient rules where Q(x)=N left (x)
The following is the beginning of an alternative proof of the Quotient Rule that uses the Product Rule and the Power Rule. Complete the proof, giving reasons for each step.
Proof: Let
Q
(
x
)
=
N
(
x
)
D
(
x
)
.
Then
Q
(
x
)
=
N
(
x
)
⋅
[
D
(
x
)
]
−
1
.
Therefore, …
Formula Formula d d x f g = g × d d x f - f × d d x g g 2 , i f g ≠ 0
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
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