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More Lessons for Calculus

Math Worksheets

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**

Examples:

Find dy/dx. Then find the slope of the tangent line at the given point.

a) 2x^{2} - 3y^{3} = 5 at (-2,1)

b) y^{3} + x^{2}y^{5} - x^{4} = 27 at (0,3)

**Implicit Differentiation - Basic Idea and Examples**

Example:

Find dy/dx of x^{2} + (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(xy^{2})

2. Find the equation of the tangent line at (1,1) on the curve x^{2} + xy + y^{2} = 3.
**More Implicit Differentiation Examples**

Examples:

1. Find the dy/dx of x^{3} + y^{3} = (xy)

2. Find the dy/dx of (x^{2}y) + (xy^{2}) = 3x

More Lessons for Calculus

Math Worksheets

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.

Examples:

Find dy/dx. Then find the slope of the tangent line at the given point.

a) 2x

b) y

Example:

Find dy/dx of x

An example of finding a tangent line is also given.

Example:

1. Find dy/dx of 1 + x = sin(xy

2. Find the equation of the tangent line at (1,1) on the curve x

Examples:

1. Find the dy/dx of x

2. Find the dy/dx of (x

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