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castortr0y [4]
3 years ago
9

How would you differentiate this problem using the quotient rule?

Mathematics
1 answer:
ioda3 years ago
6 0
Rewrite the square root of X as X^ 1/2. Then take the derivative. Since 1/3 is a constant with respect to X you can pull that out. So, you should have
1/3 d/dx [ (2x^2-x^5)/3x^1/2].

Then factor x^2 out of 2x^2-x^5.

Then by using the negative exponent rule you should have

1/3 d/dx [ x^2(2-x^3)x^-1/2 ]

Then multiply x^2 by x ^-1/2 by adding the exponents.

1/3 d/dx [ x^3/2 (2-x^3)]

Then differentiate.

You should get x^1/2 - (3x^7/2)/2.

I hope that helps.
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VERY IMPORTANT QUESTION I WILL GIVE 50 POINTS TO WHOEVER ANSWERS THIS QUESTION
solmaris [256]
I think it might be  expression one =14 i think and number 2 is obviously is 19 but you would put parenthesis around 5+4_2+6 

I think i did this right its been a while since i did this 
 
8 0
3 years ago
Tina has a doll which she can dress with a hat, a scarf and a jacket.
ad-work [718]

Answer:

60 combinations

Step-by-step explanation:

3 × 4 × 5 = 60

Hope i helped!

8 0
3 years ago
Alicia earned d dollars baby-sitting. Her friend earned twice as much. You earned $2 less than Alicia's friend earned. Write an
Semenov [28]

Answer:

Total = \$5d - 2

Step-by-step explanation:

Represent Alice with A, her friend with F and you with Y.

From the question, we have:

A = \$d

F = 2 * A --- Twice as much Alice means 2 times Alice's earnings

Y = F - 2 --- 2 less than her friend

Required

Determine the total amount

A = \$d

Substitute \$d for A in F = 2 * A

F = 2 * \$d

F = \$2d

Substitute \$2d for F in Y = F - 2

Y = \$2d - 2

The total amount is calculated by adding the earnings of Alice, her friend and you

Total = A + F + Y

Total = \$d + \$2d + \$2d - 2

Total = \$5d - 2

<em>Hence, the total earnings is 5d - 2</em>

4 0
3 years ago
An oak tree is 6 meters tall. A bird is standing on the ground 8 meters from the tree. If the bird flies directly to the top of
DerKrebs [107]

Answer:

10 meters

Step-by-step explanation:

To obtain how far wthe bird will need to fly directly, we use Pythagoras rule to calculate the hypotenus of the triangle :

Hypotenus, h = sqrt(opposite² + adjacent²)

h = sqrt(6² + 8²)

h = sqrt(36 + 64)

h = sqrt100)

h = 10m

3 0
3 years ago
Reduce to simplest form
son4ous [18]

the answers 11/6 which can't be reduced

8 0
3 years ago
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