Implicit differentiation Help!!!!

meshun01

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Joined
Feb 11, 2006
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11
1. Use implicit differentiation to find the slope of the tangent line to the curve

-(2x^2)-(4xy)+(1y^3)=-107


2. If (2x^2)+(3x)+(xy)=1
y=(1) and y'(1) by implicit differentiation.
 
Take the derivative of everything like you normally would. The only difference with implicit differentiatio is, when you take the derivative with a term containing y, you must multiply by y'.

For example, the first part of part 1: Dx(-(2x^2)-(4xy)) = -(4x) - 4[y+xy']

Take note that I used the product rule for 4xy. 4 is a constant, so take it out. Now you are left with a product of two functions, x and y.
 
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