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Implicit Partial Differentiation
4 páginas
Publicado por
sharma deepak
Implicit Partial Differentiation
Consider the folium x3 + y3 – 9xy = 0 from Lesson 13.
1.
How would you find the slope of
this curve at a given point? As before, the derivative will be used to find slope.
Differentiating Implicitly...
[Mais]
Implicit Partial Differentiation
Consider the folium x3 + y3 – 9xy = 0 from Lesson 13.
1.
How would you find the slope of
this curve at a given point? As before, the derivative will be used to find slope.
Differentiating Implicitly
One method to find the slope is to take the derivative of both sides of the equation
with respect to x.
When taking the derivative of an expression that contains y, you
must treat y as a function of x.
This method is called implicit differentiation and it is
illustrated below.
Implicit differentiation of the folium x3 + y3 – 9xy = 0 yields .
Notice that the term -9xy is considered a product of two functions and the Product
Rule is used to find its derivative, .
Solving for
Know More About How To Simplify Trig Expressions
Implicit Partial Differentiation
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