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lesya692 [45]
3 years ago
9

What is the derivative of this? Dy/dx=x^2y+y^2x

Mathematics
1 answer:
Anon25 [30]3 years ago
6 0

Answer:

y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)

Step-by-step explanation:

So, this is an implicit differentiation problem

x^2y+y^2x

so,

use product rule for both

x^2y'+2xy+y^2+2yy'x

collect all the y's

-x^2y'-2xyy'=y^2+2xy

y'(-x^2-2xy)=y^2+2xy

=y^2+2xy/-x^2-2xy

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Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 4
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Answer:

Please check the explanation.

Step-by-step explanation:

Given the verbal expression

''Thirteen less than twice the sum of a number and six is 47''.

Let us break down the verbal expression into an algebraic equation

  • Let the number be = n
  • Twice the number n = 2n
  • Sum of twice the number and six = 2n+6
  • Thirteen less than twice the sum of a number and six = 2n+6-13

And finally

Thirteen less than twice the sum of a number and six is 47:

2n+6-13 = 47

Therefore, the equation is:2n+6-13 = 47

Solving the algebraic expression

solving the equation for 'n'

2n+6-13 = 47

2n-7=47

Add 7 to both sides

2n-7+7=47+7

Simplify

2n=54

Divide both sides by 2

\frac{2n}{2}=\frac{54}{2}

Simplify

n=27

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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