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Implicit Differentiation at a Point
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The circle defined by $$x^2+y^2=25$$ has a tangent line at the point $$(3,4 $$. Use implicit differentiation to find $$\frac{dy}{dx}$$ at this point.

x y
3 4
-3 4
3 -4
-3 -4
A

$$\frac{4}{3}$$

B

$$-\frac{4}{3}$$

C

$$\frac{3}{4}$$

D

$$-\frac{3}{4}$$

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