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Find the gradient of xy^2 + x^2y=4xy at the point (1,3)?
6 years ago

Answers

bobpursley
If you mean dy/dx, then

D( xy^2 + x^2y)=D(4xy)
y^2+2yy'+2xy+x^2 y'=4y+4xy'
y'(2y+x^2-4x)=4y+y^2+2xy
so at point 1,3
y'(6+1-4)=12+9+6
y'=37/3
check that.
6 years ago
Sherab
Find the gradient of the tangent line of x^2y+xy^2=xy at (-1;2)
3 years ago

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