An Introduction to Partial Derivatives

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Presentation transcript:

An Introduction to Partial Derivatives z 100 An Introduction to Partial Derivatives 10 y 10 x Greg Kelly, Hanford High School, Richland, Washington

When we have functions with more than one variable, we can find partial derivatives by holding all the variables but one constant. z 100 10 y 10 x Note: is also written as (eff sub ecks)

would give you the slope of the tangent in the plane y=0 or in any plane with constant y. z 100 10 y 10 x In other words, how is changing one variable going to change the value of the function?

Mixed variables are also possible: Both answers are the same! p