,
Calculus: The Chain Rule
 

[ equation ][ rates of change ]

 

 

 

 

 

The Chain Rule Equation

This is a way of differentiating a function of a function.

chain rule equation

Example #1

Chain Rule eg #1

Example #2

Chain Rule eg #2

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Rates of change The Chain Rule is a means of connecting the rates of change of dependent variables.

Example #1

If air is blown into a spherical balloon at the rate of 10 cm3 / sec. how quickly will the radius grow?

The Chain Rule rates of change #1

Example #2

A spherical raindrop is formed by condensation. In an interval of 10 sec. its volume increases at a constant rate from 0.010mm3 to 0.500mm3.

Find the rate at which the surface area of the raindrop is increasing, when its radius is 1.0mm

chain rule example rate of change #2

 

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parametric differen.
equation of a tangent
equation of a normal
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the Chain Rule
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intro. to integration
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