Asked by poppy👌🤔
Find the gradient of xy^2 + x^2y=4xy at the point (1,3)?
Answers
Answered by
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.
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.
Answered by
Sherab
Find the gradient of the tangent line of x^2y+xy^2=xy at (-1;2)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.