find the derivation of x²+y²=25
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Answer:
Use chain rule on the left side and a derivative of a constant is 0.
2
x
d
x
+
2
y
d
y
=
0
Divide both sides by
d
x
.
2
x
+
2
y
d
y
d
x
=
0
Isolate the
d
y
d
x
s.
2
y
d
y
d
x
=
−
2
x
Divide both sides by
2
y
to have only the
d
y
d
x
on one side.
d
y
d
x
=
−
2
x
2
y
Simplify.
d
y
d
x
=
−
x
y
And you're done!
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