Question

dy
Find, dx if x2+y2=5​

Answer 1

Explanation:

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Answer 2

Explanation:

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Calculus Examples

Popular Problems Calculus Find dy/dx x^2-y^2=5

x

2

−

y

2

=

5

Differentiate both sides of the equation.

d

d

x

(

x

2

−

y

2

)

=

d

d

x

(

5

)

Differentiate the left side of the equation.

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−

2

y

d

d

x

[

y

]

+

2

x

Since

5

is constant with respect to

x

, the derivative of

5

with respect to

x

is

0

.

0

Reform the equation by setting the left side equal to the right side.

−

2

y

y

'

+

2

x

=

0

Solve for

y

'

.

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y

'

=

x

y

Replace

y

'

with

d

y

d

x

.

d

y

d

x

=

x

y

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