Find the partial derivative of the following functions...F (x,y) = 1 +

1.	Find the partial derivative of the following functions...F (x,y) = 1 + xy + 3x2y + 4xy2Find,dy / dxAnd d2t/dx2
Answer» Step-by-step EXPLANATION: for PARTIAL darivative to w.r.t. to X ,treat x as a constant F(x,y)=(1+xy+3x^2y+4xy^2) so, dy/dx=d(F(x,y))/dx = 0+ x + 3x^2+4x(2y) = x + 3x^2+8xy d2y/dx2=1+0+8x =1+8x

Find the partial derivative of the following functions...F (x,y) = 1 + xy + 3x2y + 4xy2Find,dy / dxAnd d2t/dx2

Answer»

Step-by-step EXPLANATION:

for PARTIAL darivative to w.r.t. to X ,treat x as a constant

F(x,y)=(1+xy+3x^2y+4xy^2)

so,

dy/dx=d(F(x,y))/dx

= 0+ x + 3x^2+4x(2y)

= x + 3x^2+8xy

d2y/dx2=1+0+8x

=1+8x

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Find the partial derivative of the following functions...F (x,y) = 1 + xy + 3x2y + 4xy2Find,dy / dxAnd d2t/dx2​

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Find the partial derivative of the following functions...F (x,y) = 1 + xy + 3x2y + 4xy2Find,dy / dxAnd d2t/dx2