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3 years ago

What is the derivative of x^2

Mathematics

1 answer:

denis-greek [22]3 years ago

5 0

Answer:

2 x

Step-by-step explanation:

A simple way of determining a derivative of an expression is that the power is brought down and the new power is reduced by 1. For example,

d/dx [x^3] = 3x^2.

d/dx [2x^3] = 2(3)x^2

= 6x^2

Hence derivative if x^2 = 2x^1 = 2x

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Roger can shovel his family's driveway in 1 hour. His older sister, Alexis, can shovel the driveway in 1/2 hour. If they work to

sukhopar [10]

Answer:

40 min

Step-by-step explanation:

his sister can do it twice as fast so the boy does 1 and the sister does 2. he will do 1/3 of the work and it will take 1/3 of the time

8 0

2 years ago

Read 2 more answers

Explain why it is possible to draw more than two different rectangles with an area of 36 square units, but it is not possible to

Inessa05 [86]

Answer:

Step-by-step explanation

you are able to make two squares because you can use the square root of 36 and that twill give you 6 not a decimal.

in comparison if you do the square root of 15 it will give you 3.87298335

7 0

3 years ago

Identify the solution set of 3 In 4 = 2 In x. -{6} -{-8,8} -(8)

o-na [289]

Option C: The solution set is $\{8\}$

Explanation:

The expression is $3 \ln 4=2 \ln x$

Now, let us find the solution set.

Switch sides, we get,

$2 \ln x=3 \ln 4$

Dividing by 2 on both sides, we have,

$\ln x=\frac{3 \ln 4}{2}$

Thus, $\ln 4=\ln 2^2=2\ln 2$

Hence, the above expression becomes,

$\ln x=\frac{3 \cdot 2 \ln (2)}{2}$

Simplifying, we get,

$\ln x=3 \ln 2$

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

$x=8$

Thus, the solution set is $\{8\}$

Hence, Option C is the correct answer.

5 0

3 years ago

When a number is increased by 2.8%, the result is 56. What is the original number to

Sever21 [200]

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

$56 \div 1.028 = 54.47$

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

6 0

3 years ago

A drawer contains white socks and black socks only.

crimeas [40]

Answer:

36 black socks

Step-by-step explanation:

white socks: black socks

1 :3

We have 12 white socks so we multiply each term by 12

1*12 : 3*12

12:36

We have 36 black socks

5 0

3 years ago