Mathematics College

What is the derivative of this?

Dy/dx=x^2y+y^2x

Answers

Answer 1

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

Related Questions

solve for x -1.5x - 3.1 < 5.5

Answers

Answer:

x>-17.2

Step-by-step explanation:

Simplify both sides of the inequality

-0.5x-3.1< 5.5

Add 3.1 to both sides

-0.5x< 8.6

Divided both sides by -0.5

x>-17.2

Hope this helped! :)

If a snail travels at a rate of of a mile every of an hour,
what is the unit rate in miles per hour?

Answers

Answer:

1mph or 1 mile per hour

Step-by-step explanation:

simple

simplify [tex]x^2+6x+4/x+3[/tex]

Answers

Answer:

(x^3 + 6 x^2 + 3 x + 4)/x

Step-by-step explanation:

Simplify the following:

x^2 + 6 x + 3 + 4/x

Put each term in x^2 + 6 x + 3 + 4/x over the common denominator x: x^2 + 6 x + 3 + 4/x = x^3/x + (6 x^2)/x + (3 x)/x + 4/x:

x^3/x + (6 x^2)/x + (3 x)/x + 4/x

x^3/x + (6 x^2)/x + (3 x)/x + 4/x = (x^3 + 6 x^2 + 3 x + 4)/x:

Answer: (x^3 + 6 x^2 + 3 x + 4)/x

Find the value of x. Then, find the measure of each labelled angle.

x=_
(7x+10)°=_
(15x+16)°=_​

Answers

Answer:

x = 7deg

Step-by-step explanation:

7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)

22x = 154

x = 7deg

This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Solve each system of equations algebraically x-y=6 y=-1

Answers

Answer:

x-(-1)=6

-x=6

-x/-1 6/-1

x=-6

Answer:

Therefore, the solution of the system of equations will be:

[tex]x=5,\:y=-1[/tex]

Step-by-step explanation:

Given the system of equations

[tex]x-y=6;\:y=-1[/tex]

solving

[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=-1[/tex]

[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]

[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]

Isolate x for [tex]x+1=6[/tex]

[tex]x+1=6[/tex]

[tex]x=5[/tex]

Therefore, the solution of the system of equations will be:

[tex]x=5,\:y=-1[/tex]

Jasmin can walk 1/4 mile every 1/5 hour. At this rate, how far can Jasmin
walk in one hour?

Answers

Answer:

hope this helps :)

Step-by-step explanation:

Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.

So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour

Jazmeen can walk 1.25 miles in one hour.

The quotient of 8 divided by 1/5 will be _____ 8.

Answers

Answer:

5

Step-by-step explanation:

Answer:

Less Than :)

Step-by-step explanation:

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