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Sergio039 [100]
3 years ago
5

Find dy/dx by implicit differentiation. 4x2 + 5xy - y2 = 6

Mathematics
1 answer:
Vlada [557]3 years ago
5 0
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0

where y' = dy/dx

8x + 5xy' +5y  -2yy' = 0

combining y' terms
y' (5x-2y) +8x +5y = 0

y'(5x-2y) = -(8x+5y)

dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
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Answer:

Your slope is -1

Step-by-step explanation:

Find the change in x and the change in y and put it in change in y over change in x.

Δx = -1 - -2 = 1

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Slope = rise over run = Change in y over change in x =  Δy/Δx = -1/1

Therefore the slope is -1/1 which is written as just -1

7 0
3 years ago
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified
Artemon [7]

Answer:

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Step-by-step explanation:

Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?

Simplified Expression:

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8 0
2 years ago
Read 2 more answers
Which number equals (3)^-3? A) -27 B) -9 C) -1/27 D) 1/27
Alecsey [184]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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Im not sure about the second one, but for the first one, Alex’s height is 167.64 cm. :)
7 0
3 years ago
Step by step explanation thanks
Inessa [10]

Answer:

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7 0
3 years ago
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