implicit differentiation

Calculus Tutorial

implicit differentiation


Evaluating derivative with implicit differentiation.

Sample Problem

Find the slope of the tangent line to the curve x3+(y-x)2=5 at(1,3).


3×2+2(y-x)(dy/dx-1)=0 differentiative
3×2+2(y-x)dy/dx-2(y-x)=0 simplify
dy/dx=(2(3-1)-3.1)/2(3-1) substitute x=1,y=3
slope of tangent=1/4

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