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What's on the worksheet
- Find dydx by implicit differentiation.4x^2 - 9y^2 = 36x^2y^3 = 7y\cos x = x + y^2e^y = x^2 + y
- Check that the point (−2, 3) lies on the curve 4xy² - x³ = -64, and find the tangent line to the curve at that point, in slope-intercept form.
- Consider the curve 4x² + y² - 8x + 4y = 8.
- Consider the curve y² + 2y = x³, which passes through (2, 2).
- The curve x²/3 + y²/3 = 5 passes through (8, 1) and (−1, 8).
- Luis wants the tangent line to xy² + y = 10 at (2, 2).
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Implicit differentiation: the lesson ›