All categories

4 years ago

Would this be correct even though I didn’t use the chain rule to solve?

Mathematics

1 answer:

Semenov [28]4 years ago

3 0

Answer:

Dy/Dx=1/√ (2x+3)

Yeah it's correct

Step-by-step explanation:

Applying differential by chain differentiation method.

The differential of y = √(2x+3) with respect to x

y = √(2x+3)

Let y = √u

Y = u^½

U = 2x +3

The formula for chain differentiation is

Dy/Dx = Dy/Du *Du/Dx

Dy/Du= 1/2u^-½

Du/Dx = 2

Dy/Dx =( 1/2u^-½)2

Dy/Dx= u^-½

Dy/Dx=1/√ u

But u = 2x+3

Dy/Dx=1/√ (2x+3)

You might be interested in

Find the equivalent expression 9 ( 2a + 1

aivan3 [116]

Answer:

Equivalent expression of $9(2a+1)$ is, $18a+9$

Step-by-step explanation:

The distributive property says that:

$a \cdot (b+c) = a\cdot b + a\cdot c$

Given the expression: $9(2a+1)$

Apply the distributive property:

$9 \cdot (2a) +9 \cdot 1$

Simplify:

$18a+9$

Therefore, the equivalent expression of $9(2a+1)$ is, $18a+9$

8 0

4 years ago

Read 2 more answers

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.

Anna007 [38]

Answer:

yes; 1.25

Step-by-step explanation:

The length to width ratios of the rectangles are ...

A: 12/8 = 1.5

B: 15/10 = 1.5

C: 30/15 = 2.0

Rectangles A and B have the same aspect ratio, so are similar. Rectangle B is a scaled copy of A with a scale factor of 10/8 = 1.25.

7 0

4 years ago

Graph the line.please help

Levart [38]

Here ya gooooo :))))))

8 0

3 years ago

Your jewelry business orders $1320 in supplies each month. In each month, you can usually sell an earring/ring set for about $55

steposvetlana [31]

Answer:

Given,

The jewelry business orders $ 1320 in supplies each month.

That is, the invested amount = $ 1320,

Also, the selling price of each earring/ring set = $ 55,

Part 1 : Let x be the number of set that have been sold each month to break even ( in which revenue and invested amount are equal )

So, Total revenue ( the cost of x sets) = 55x,

⇒ 55x = 1320

Divide both sides by 55,

We get,

x = 24

Hence, 24 sets are needed to sell each month to break even.

Part 2 : Let y be the number of sets in which the profit is $ 715,

Total revenue = 55x

Profit = Total revenue - invested amount

⇒ 55x - 1320 = 715,

⇒ 55x = 715 + 1320

⇒ 55x = 2035

⇒ x = 37

Hence, 37 sets are sold for the total profit of $715.

Part 3 :

Revenue in selling 7 sets = 55 × 7 = $ 385

Profit = $ 385 - $ 1320 = - $ 935

Hence, the profit is - $ 935 after selling 7 sets.

8 0

3 years ago

Which quadrants are (-4,5) in

zaharov [31]

Answer:

Quadrant 2

Step-by-step explanation:

Take a look at the picture I added it should help you on futures questions like this :)

4 0

3 years ago