There are 1 questions in this calculation: for each question, the 1 derivative of y is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(1.5 - x(1 - y))}^{2} + {(2.25 - x(1 - {y}^{2}))}^{2} + {(2.625 - x(1 - {y}^{3}))}^{2}\ with\ respect\ to\ y:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{2}y^{2} - x^{2}y + 1.5xy - x^{2}y + 1.5xy - x^{2}y - x^{2}y + x^{2}y^{2} + 2.25xy + 2.25xy - x^{2}y - x^{2}y + x^{2}y^{2} + 2.625xy + 2.625xy - 1.5x + x^{2} - 2.25x - 2.625x + x^{2} - 1.5x + x^{2} - 2.625x - 2.25x + 14.203125\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{2}y^{2} - x^{2}y + 1.5xy - x^{2}y + 1.5xy - x^{2}y - x^{2}y + x^{2}y^{2} + 2.25xy + 2.25xy - x^{2}y - x^{2}y + x^{2}y^{2} + 2.625xy + 2.625xy - 1.5x + x^{2} - 2.25x - 2.625x + x^{2} - 1.5x + x^{2} - 2.625x - 2.25x + 14.203125\right)}{dy}\\=&x^{2}*2y - x^{2} + 1.5x - x^{2} + 1.5x - x^{2} - x^{2} + x^{2}*2y + 2.25x + 2.25x - x^{2} - x^{2} + x^{2}*2y + 2.625x + 2.625x + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0\\=&2x^{2}y + 2x^{2}y + 2x^{2}y - x^{2} + 1.5x - x^{2} - x^{2} - x^{2} + 2.25x + 2.25x - x^{2} - x^{2} + 1.5x + 2.625x + 2.625x\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!