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lions [1.4K]
3 years ago
14

Finding Derivatives Implicity In Exercise, find dy/dx implicity. ln xy + 5x = 30

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer:

dy/dx = -5y - y/x

Step-by-step explanation:

In xy + 5x = 30

Differentiating xy implicitly

y + xdy/dx

Assuming u = xy

In xy = In u

Differentiating In u = 1/u = 1/xy

Differentiating 5x = 5 and differentiating a constant (30) = 0

1/xy(y + xdy/dx) + 5 = 0

(y + xdy/dx)/xy = -5

(y + xdy/dx) = -5xy

xdy/dx = -5xy - y

dy/dx = = (-5xy - y)/x

dy/dx = -5y - y/x

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Answer:

Step-by-step explanation:

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Solve for x.<br> (1/3) over 3 =x over 8
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Find the point that is 3/4 of the distance P (-6,-5) to the point Q (2,7)
Zarrin [17]

Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:

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For the x-coordinate, we have that:

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For the y-coordinate, we have that:

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More can be learned about proportions at brainly.com/question/24372153

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Answer:

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Step-by-step explanation:

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