Ask question

Ask question

All categories

3 years ago

7

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

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

You might be interested in

What is the answer to 81.56 + n - 2.55

Anna71 [15]

81.56+n-2.55=0
81.56+n=2.55
n=2.55-81.56
n=-79.01

5 0

3 years ago

Read 2 more answers

87 times 422 divided by 4

Lynna [10]

Answer:

9178.5

Step-by-step explanation:

Follow PemDas

From Left to Right, you multiply 87 x 422, which is 36,714

Then, thake that number and divide it by 4, giving you 9,178.5

8 0

4 years ago

NOT TO SURE!! LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

Nana76 [90]

Answer:

C) Intersecting

Step-by-step explanation:

happy to help ya:)

4 0

3 years ago

Read 2 more answers

Akiko is making a pizza. The radius of the pizza is 19 inches. What is the circumference of the pizza (use 3.14 for pi and round

RideAnS [48]

Answer:

≈119.3

Step-by-step explanation:

The area for circumference is as follows:

$C = 2\pi r\\or\\C = d\pi$

The above equations mean the same thing, because the diameter is just 2 times the radius.

Anyhow, we insert this value into the equation...

$C = 2\pi(19)\\C = 38(3.14)\\C = 119.32\\$

This rounds to:

≈119.3

5 0

3 years ago

MULTIPLY.....WILL MARK BRAINLIEST<br>x^2(-10x^2+1)

Tanya [424]

Answer:

Step-by-step explanation:

Distributive property: a(b + c) = a*b +a*c

$a^{m}*a^{n}=a^{m+n}\\\\\\x^{2}(-10x^{2}+1)= x^{2}*(-10x^{2}) +x^{2}*1\\\\=-10x^{(2+2)}+ x^{2}\\\\= -10x^{4} + x^{2}$

5 0

3 years ago