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3 years ago

9

Find the first derivative?

1 answer:

professor190 [17]3 years ago

8 0

You could do the question the way it is written, but it is far easier to bring the negative power up to the numerator.

y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0

If you are a purist and want to solve the question the way it is written, you could do it this way.

dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
======================
(x^-2)^2

dy/dx = - (-2 x^ - 3) / x^-4

dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer

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Evaluate -125^(-1/3)

soldi70 [24.7K]

Answer:

1/-125^(1/3)

=1/-5

=-0.2

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3 years ago

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mihalych1998 [28]

The answer to your question is D , it is 2/3 simple math even easier if you use a calcul

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Vikentia [17]

Answer:

➩ $x=2,-\frac{2}{3}$

Step-by-step explanation:

$\sqrt{4x^2}=x+2$

➨ We can also solve by completing both squares, however. Since we can pull out the square root.

$\sqrt{4x^2}=|2x|$ ➩ Define of Absolute Value/Square Root

➩ $\sqrt{x^2}=|x|$

Thus, our new equation is ➩ $|2x|=x+2$

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0

$2x=x+2\\$

Move x to another side

$2x-x=2\\x=2$

➨ Where x < 0

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3 0

3 years ago

A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?

Sophie [7]

Answer:

we divide 192 by the volume 19.5

192÷19.5=9.85 so the necklace is made of bronze

8 0

3 years ago

Un olivar tiene 80 olivos. Sesenta de ellos dan, por término medio, 50 kg 4 hg 60 dag 5 g de aceitunas cada uno, y los otros vei

vlada-n [284]

Answer:

1330.808 euros

Step-by-step explanation:

Let's first calculate the total amount of kilograms,

for the first 60, we have to:

50 kg

4 hg = 0.5 kg

60 dag = 0.6

5 g = 0.005 kg

adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60

51.105 * 60 = 3066.3

now for the other 20:

53 kg

2 hg = 0.2 kg

16 dag = 0.16

5 g = 0.005

adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20

53,365 * 20 = 1067.3

in total it would be: 3066.3 + 1067.3 = 4133.6

they tell us that 1/5 is the quantity in liters:

4133.6 * 1/5 = 826.72 liters

so to calculate the earnings it would be:

2.65 * 826.72 - 860 = 1330.808

which means that in net earnings are 1330.808 euross

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3 years ago