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3 years ago

I rlly need help ill give u brainliest

Mathematics

1 answer:

REY [17]3 years ago

6 0

Answer:

1728 for A

7290000 for B

Step-by-step explanation:

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Leni [432]

Answer: $\dfrac{2x^2-1}{x(x^2-1)}$

Step-by-step explanation:

The given function : $y=\ln(x(x^2 - 1)^{\frac{1}{2}})$

$\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}$ [ $\because \ln(ab)=\ln a +\ln b$ ]

$\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}$ [ $\because \ln(a)^n=n\ln a$ ]

Now , Differentiate both sides with respect to x , we will get

$\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1)$ (By Chain rule)

[Note : $\dfrac{d}{dx}(\ln x)=\dfrac{1}{x}$ ]

$\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)$

[ $\because \dfrac{d}{dx}(x^n)=nx^{n-1}$ ]

$=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}$

Hence, the derivative of the given function is $\dfrac{2x^2-1}{x(x^2-1)}$ .

8 0

3 years ago

A landscaper receives a discount on each plant purchased. The original price of each plant is x dollars. The landscaper purchase

prisoha [69]

Answer:

Step-by-step explanation:

Discount is a form of consideration in price or amount given to a customer on a sale of goods. It can be deduced from the question that;

The original price of each plant = $x

Number of plants purchased = 20

Price of the number of plants purchased without discount = $20x

Amount paid for the 20 plants with discount = $(20x - 80)

Thus,

The discount on the 20 plants = $80

Discount on each plant = $\frac{total discount on plants}{number of plants purchased}$

= $\frac{80}{20}$

= $4

Discount on each plant = $4

Therefore, each plant was discounted by $4.

7 0

3 years ago

Find -15(-8) A. 120 B. 80 C. -23 D. -120

podryga [215]

Answer:

Step-by-step explanation:

-15(-8)

=+(15*8)

=120

So, the ans is A

4 0

2 years ago

What is the least common denominator of 1/9 and 2/3

Kipish [7]

Answer:

Step-by-step explanation:

All u have to do is think only about two denominators, 9 and 3

And then memorize the multiplication of any number out of these two, until u get a number which is divisible by the other number. Its like,

9×1= 9

is it divisible by 3?

9/3= 3

Oh yes, it is divisible by 3 with no remainings. So that is the least common denominator

8 0

3 years ago

Need an answer asap!

Alex

Answer:

Step-by-step explanation:

you would put -142 in the x place

-0.2(-142+223)

-0.2(81)=-16.2

3 0

3 years ago

I rlly need help ill give u brainliest​

I rlly need help ill give u brainliest