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Examples using Implicit Differentiation

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Examples to show how to use implicit differentiation.

The following diagrams show the steps for implicit differentiation. Scroll down the page for more examples and solutions on how to use implicit differentiation.

Implicit Differentiation




Implicit Differentiation
Examples:
Find dy/dx. Then find the slope of the tangent line at the given point.
a) 2x2 - 3y3 = 5 at (-2,1)
b) y3 + x2y5 - x4 = 27 at (0,3)
Implicit Differentiation - Basic Idea and Examples
Example:
Find dy/dx of x2 + (xy) + cos(y) = 8y Implicit Differentiation Examples
An example of finding a tangent line is also given.
Example:
1. Find dy/dx of 1 + x = sin(xy2)
2. Find the equation of the tangent line at (1,1) on the curve x2 + xy + y2 = 3. More Implicit Differentiation Examples
Examples:
1. Find the dy/dx of x3 + y3 = (xy)
2. Find the dy/dx of (x2y) + (xy2) = 3x

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