AP Calculus BC 3.2 Implicit Derivatives Overview

Differentiate equations that define y implicitly, isolate dy/dx and evaluate tangent slopes using coordinates on the relation.

Exam points

[Maximum number: 1]

If y is a differentiable function of x, then the slope of the curve of $x y^{2}$ $-2 y+4 y^{3}=6$ at the point where y=1 is

$-\frac{1}{18}$

$\frac{5}{18}$

$\frac{1}{3}$

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