Sunday, January 11, 2009

second derivative at a given point with implicit differentiation

if x² +y² = 25, find the value of d²y / dx² at (4,3)
differentiate once , extract the value of dy/dx
find the value at (4,3)
differentitate the expression for dy/dx once more
to get d²y / dx²
it might contain dy/dx
substitute (4,3) and the value obtained earlier for dy/dx

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