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Calculus
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Derivatives
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Implicit Differentiation on a Circle
hard
Difficulty: hard
d/dx Derivatives
·
25 pts
·
0 solved
Implicit Differentiation on a Circle
Problem Statement
Given
x
2
+
y
2
=
25
,
find
d
y
d
x
at the point
(
3
,
4
)
\text{Given } x^2+y^2=25, \text{ find } \frac{dy}{dx} \text{ at the point } (3,4)
Given
x
2
+
y
2
=
25
,
find
d
x
d
y
at the point
(
3
,
4
)
Your Answer (variable: x)
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Tips
Use standard math syntax:
^
for powers,
*
for multiplication.
Functions: sin, cos, tan, exp, log (natural log), sqrt.
Constants: pi, e.
For antiderivatives you can omit "+ C".
