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2 years ago

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

Mathematics

1 answer:

Anon25 [30]2 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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3 years ago

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hodyreva [135]

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Step-by-step explanation:

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2 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

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Drop the exponents:

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Expand the right side:

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Move the terms containing x to the left side and factor out x :

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Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

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2 years ago

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Komok [63]

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3 years ago

Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain. PLEASE HELP! WILL MARK BRAINLIEST!!!!

ludmilkaskok [199]

Answer: A parallelogram is a rectangle.

Step-by-step explanation:

This is always true. Â Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. ... A parallelogram is a rectangle.

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2 years ago