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Vadim26 [7]
3 years ago
7

Find y' by implicit differentiation: xy + 2x + 3x^2 = 4

Mathematics
1 answer:
NeX [460]3 years ago
3 0
(xy)' + (2x)' + (3x^2)' = (4)'

y + xy' + 2 + 6x = 0

xy' = -y  -2 -6x

y' = [-y -2 -6x] / x

Now solve y from the original equation and substitue

xy + 2x + 3x^2 = 4 => y = [-2x - 3x^2 + 4] / x

y' =  [(-2x - 3x^2 +4) / x - 2 - 6x ] / x

y' = [-2x - 3x^2 + 4 -2x -6x^2 ] x^2 = [ -4x - 9x^2 + 4] / x^2 =

= [-9x^2 - 4x + 4] / x^2
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Simplify the expression:<br> 2(2 + 7b) =
nikitadnepr [17]

Answer:

4 + 14b

Step-by-step explanation:

First, you need to distribute so,

2*2= 4   and

2*7b= 14b

4 0
3 years ago
Plot triangle ABC on graph paper with points A(2,2). B(-2, -2) and C(8, -2).
bonufazy [111]

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Kelvin can carry a basket 5 feet rachel can carry it 3 feet further than kelvin daniel can carry it half as far s rachel is it r
Ksenya-84 [330]
I think it eould be 17 feet. 5 plus 8 plus 4 is 17.
6 0
3 years ago
Help will give Brainliest.
Luden [163]

no because you are not distributing numbers that multiply with each other and form new expressions

5 0
3 years ago
Read 2 more answers
A line has a slope of 5 and passes through the point
podryga [215]

Answer:

Step-by-step explanation:

The equation is mx+b=y.

M=slope (in this case 5)

x=x coordinates

b=y intercept

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For the x and y coordinates, I'll use (2,0).

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In this case, we only have one awnser, -10. Since 10+(-10) are the only ways to equal 0.

Hope this helps,

5 0
3 years ago
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