dy÷dx=(x-1)(x+3) at x=2​

Answers

Answer 1

Answer:

[tex]\dfrac{dy}{dx}=\dfrac{4}{25}[/tex]

Explanation:

The given expression is :

[tex]y=\dfrac{(x-1)}{(x+3)}[/tex]

We need to find dy/dx at x = 2

[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}(\dfrac{x-1}{x+3})\\\\=\dfrac{(x+3)\dfrac{d}{dx}(x-1)-(x-1)\dfrac{d}{dx}(x+3)}{(x+3)^2}\\\\=\dfrac{x+3-(x-1)}{(x+3)^2}\\\\=\dfrac{x+3-x+1}{(x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{4}{(x+3)^2}[/tex]

Put x = 2 in above expression

[tex]\dfrac{dy}{dx}|x=2=\dfrac{4}{(2+3)^2}\\\\=\dfrac{4}{25}[/tex]

Hence, the value at dy/dx is [tex]\dfrac{4}{25}[/tex]


Related Questions

If any of y’all can give me the definition for these words I will give 5 stars ,like and brainlest or whatever it’s called

Answers

Answer:

rRNA - Ribosomal RNA, a molecular component of a ribosome, the cell's essential protein factory. Strictly speaking, ribosomal RNA (rRNA) does not make proteins. It makes polypeptides (assemblies of amino acids) that go to make up proteins

tRNA - Transfer ribonucleic acid (tRNA) is a type of RNA molecule that helps decode a messenger RNA (mRNA) sequence into a protein. tRNAs function at specific sites in the ribosome during translation, which is a process that synthesizes a protein from an mRNA molecule.

Explanation:

Which microscope is used to check organelles of human cheek cell?

Answers

Answer:

4x or 10x

Explanation:

You need one of those to find the cells and then you can increase magnification

What are the properties of water that you can observe when transpiration takes place?

Answers

Answer:

When water evaporates through the leaves, a pull is created through the xylem, and water moves back to the leaves. This is known as the transpiration pull.

nvm i got it but take some points by saying this question what are you thankfulll for

Answers

Answer:

I am thankful for my-

-friends

-family

-clothes

-food

-education

-shelter

Other Questions
- During a certain period, the angular position of a rotating object is given by: = + , where is in radian and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the rotating object at = Sec. Shows a car travelling around a bend in the road. The car is travelling at a constant speed. There is a resultant force acting on the car. This resultant force is called the centripetal force. (i) In which direction, A, B, C or D, does the centripetal force act on the car? Tick ( ) one box. A B C D (1) (ii) State the name of the force that provides the centripetal force. Loyalty to a political cause or party is known as partisanship Pacifica Industrial Products Corporation makes two products, Product H and Product L. Product H is expected to sell 40,000 units next year and Product L is expected to sell 8,000 units. A unit of either product requires 0.4 direct labor-hours. The company's total manufacturing overhead for the year is expected to be $1,632,000.Required: 1-a. The company currently applies manufacturing overhead to products using direct labor-hours as the allocation base. If this method is followed, how much overhead cost per unit would be applied to each product? Product H Product L Overhead cost per unit 1-b. Compute the total amount of overhead cost that would be applied to each product Product H Product L Total Total overhead cost 2. Management is considering an activity-based costing system and would like to know what impact this change might have on product costs. For purposes of discussion, it has been suggested that all of the manufacturing overhead be treated as a product-level cost. The total manufacturing overhead would be divided in half between the two products, with $816,000 assigned to Product H and $816,000 assigned to Product L If this suggestion is followed, how much overhead cost per unit would be assigned to each product? (Round your answers to 2 decimal places.) Product H Product L Overhead cost per unit b-27 =43 I would really appreciate your help Which main idea is conveyed in this passage? A person who believes that people are who they are because of how they are raised is more on the side of ___ with respect to the nature versus nurture debate.A. biologyB. natureC. innate traitsD. nurture why is Canada separated from the U.S? Which equation represents a graph with a vertex at (1, -6)?A. y=3x2+6x3B. y=3x2-6x-3C. y=3x2-8x-1D. y=3x2-3x-6 16 is what percent of 20? b -2 = 9/b-2 Answer ? La Distribuidora Industrial Dulzura va a seleccionar entre dos compaas para transportar su azcar al mercado. La primera compaa cobra 49,430.00 por alquilar los camiones ms 2,480.50 adicionales por cada tonelada de azcar. La segunda compaa cobra 60,500.00 por alquilar los camiones ms 1,927.20 adicionales por cada tonelada de azcar. Nick earns 3.5%commission on everycar he sells. How muchwould he earn if he solda $14.000 car? 22.Which of the following contributed to the economic growth of the 19th century South?a rail network that connected major southern citiesnavigable rivers for transporting manufactured goodssuitable soil for planting and cultivating cottona skilled workforce that built canals and roads someone answer please:)I think its saying to find out what a means Which phrase best discribes how scientists use the data they collect A 29-year-old female complains of a sore throat and runny nose for 3 days. Today she notes she is having difficulty breathing due to frequent and severe coughing spells. She is alert and oriented, and her vital signs are P 84, R 20, BP 122/80. Given her symptoms, you should suspect: What is the answer I need help pls Hello, can someone please help me as soon as possible? It will me appreciated greatly and I will mark brainliest. Which microscope is used to check organelles of human cheek cell?