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lawyer [7]
3 years ago
13

Use logarithmic differentiation to find dy/dx

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0

Answer:

Hello,

Step-by-step explanation:

Let's say:

y=x^{cotg(x)}\\\\ln(y)=cotg(x)*ln(x)\\\\\\\dfrac{y'}{y}=\dfrac{-1}{sin^2(x)}  *ln(x)+\dfrac{cotg(x)}{x} \\\\\\y'=-\dfrac{x^{cotg(x)}*ln(x)}{sin^2(x)} +cotg(x)*x^{cotg(x)-1}\\

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Simplify. 2x+7y+3x−4y please help
Mariulka [41]

Answer:

<h2>5x +3y</h2>

Step-by-step explanation:

2x+7y+3x-4y\\\\\mathrm{Group\:like\:terms}\\=2x+3x+7y-4y\\\\\mathrm{Add\:similar\:elements:}\:2x+3x=5x\\=5x+7y-4y\\\\\mathrm{Add\:similar\:elements:}\:7y-4y=3y\\= 5x+3y

8 0
3 years ago
Read 2 more answers
The table shows the price for shoe rental, games, and snacks at the bowling alley
monitta
First, find the total price she would have had to pay (without tax):
2.75+ 3(2.5)+ 1.75=12
If she has half-price multiply the total price by 0.5:
12(.5)=6
Her total price without tax is $6.

The answer is B) $6.00
Hope I helped...
6 0
4 years ago
Sherrie's biology class is studying the ability of a certain microbe to dissipate oil spilled in seawater. to be effective the p
choli [55]

The exponential equation for the growth is f(x)=57e^{0.51x} where x is the number of days and the population on 21st march is 2069983.5 of microbes.

Given:

Days                   population

0                                57

1                                 95

5                               700

10                               8525

We have to form exponential equation which shows the growth of microbes.

We know that exponential equation which shows the sum is as under:

f(x)=Pe^{rt} where r is the rate of growth and x is the number of days, months or years depending on how things grows.

In the question when x=0 population is 57.

f(0)=57

Pe^{0}=57

P=57

When x=1, population is 95.

f(1)=95

Pe^{r}=95

57 e^{r}=95

57=95/e^{r}----1

when x=5,population is 700.

f(5)=700

Pe^{5r}=700

57e^{5r}=700

57=700/e^{5r}-----2

Equating 1&2

95/e^{r}=700/e^{5r}

e^{5x} /e^{x} =700/95

e^{5r-r}=7.36

e^{4r}=7.36

(2.7182)^{4r}=(2.7182)^{2}

equating both sides

4r=2

r=0.5

put the value of t=21 in the exponential equation

f(21)=57e^{0.5*21}

=57e^{10.5}

=57*36315.5

=2069983.5

Hence the population on 21st march is 2069983.5.

Learn more about equation at brainly.com/question/2972832

#SPJ4

8 0
2 years ago
Quadrilaterals that are neither a trapezoid nor a rectangle?
miss Akunina [59]
Square, rhombus, kite
4 0
3 years ago
√x-1=4<br> I need the answer for this question
GenaCL600 [577]

Answer:

25

Step-by-step explanation:

First we add 1 to both sides :

√x = 5

Now we square both sides :

x = 5²

x = 25

To check this answer we substitute our answer back into the original equation:

√25 - 1 = 4

5 - 1 = 4

4 = 4

✅

Hope this helped and brainliest please

3 0
2 years ago
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