use-implicit-differentiation-to-find-an-equation-of-the-tangent-line-to-the-curve-at-the-given-poi-5

Question

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
$ x^2 + y^2 = (2x^2 + 2y^2 - x)^2, (0, \frac {1}{2}), $ (cardiod)

Doruk Isik · Accepted Answer

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Problem

Use implicit differentiation to find an equation …

Problem 29 Easy Difficulty

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
$ x^2 + y^2 = (2x^2 + 2y^2 - x)^2, (0, \frac {1}{2}), $ (cardiod)

Answer

$$y-\frac{1}{2}=1(x-0)$$ $$\text { or } y=x+\frac{1}{2}$$

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