1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WITCHER [35]
1 year ago
14

Find the derivative of 3e^y+x=y

Mathematics
1 answer:
Sindrei [870]1 year ago
4 0

You have the following function:

y=3e^y+x

Derivate implictly the previous expression, as follow:

y^{\prime}=3e^yy^{\prime}+1

Where you have used that:

(e^y)^{\prime}=e^yy^{\prime}

Then, the implicit derivative of the given expression is:

y^{\prime}=3e^yy^{\prime}+1

Next, solve for y' as follow:

\begin{gathered} y^{\prime}-3e^yy^{\prime}=1 \\ (1-3e^y)y^{\prime}=1 \\ y^{\prime}=\frac{1}{1-3e^y} \end{gathered}

You might be interested in
How many sides does this regular polygon have? <br>Pls help ​
galina1969 [7]

Answer:

9 sides

Step-by-step explanation:

7y + 2y = 180

9y = 180

y =20

so, 2y, the exterior angle is 2 x 20 = 40

Divide 360 by 40 = 9

3 0
3 years ago
What is the Surface area for a rectangular prism that has the measurements of 2, 12, and 6?
Bond [772]

Answer:

216

Step-by-step explanation:

A=2(wl+hl+hw)=2·(12·2+6·2+6·12)=216

5 0
3 years ago
Read 2 more answers
Kristen has been earning $150 per week by babysitting. She has been working hard to save 20% of each week's earnings. If she con
anyanavicka [17]

Answer:

it will take her 6 weeks

Step-by-step explanation:

150*.2=30

180/30=6

5 0
3 years ago
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm.
Zarrin [17]

Answer:

11.6cm

Step-by-step explanation:

a^2+b^2=c^2

11^2+b^2=16^2

121+b^2=256

b^2=135

b=11.6

6 0
2 years ago
HELP DUE IN 10 MINS!
Scilla [17]

Answer:

\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi

Step-by-step explanation:

Area of a circle with radius r: r^2\pi

Circumference of a sector with radius r: 2r\pi

Area of sector with angle \theta:  r^2\pi\cdot \frac{\theta}{360}.

Arc length of sector with angle \theta: 2r\pi\cdot \frac{\theta}{360}

Using these equations, we get the following information:

Area of circle: 27^2\pi=729\pi

Circumference of a circle: 2\cdot 27\cdot \pi=54\pi

Area of sector: 27^2\pi\cdot \frac{80}{360}=162\pi

Arc length of sector: 2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi

3 0
3 years ago
Other questions:
  • I need help someone look at the picture
    13·2 answers
  • What is the abbreviation for nanometer?
    5·1 answer
  • the temperature in Chicago is 38 digresses it is 40 colder in north Dakota what is the temperature in north Dakota
    14·1 answer
  • Which of the following best describes the expression 4 (y+6)
    12·2 answers
  • Suppose there is a bag containing 20 white marbles ​(Upper W​), 20 red marbles ​(Upper R​), 20 yellow marbles ​(Upper Y​), and 2
    12·2 answers
  • Ethan rode 25.65 kilometers on Saturday and 14.23 kilometers on Sunday. About how far did Ethan ride during the two days?
    10·2 answers
  • What is the slope of the line that contains these points x=12,13,14,15 y=-4,2,8,14
    5·1 answer
  • A system of equations where both X and Y cancel and you are left with just a number is called
    14·1 answer
  • A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in terms of ?
    6·2 answers
  • What is the diference between the<br>largest and the smallest 4 digit numbers​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!