There are 1 questions in this calculation: for each question, the 1 derivative of w is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(\frac{31}{10} - (w + b))}^{2} + {(\frac{46}{5} - (3w + b))}^{2} + {(\frac{101}{10} - (\frac{17}{5}w + b))}^{2} + {(\frac{59}{5} - (\frac{41}{10}w + b))}^{2} + {(\frac{143}{10} - (\frac{49}{10}w + b))}^{2} + {(\frac{79}{5} - (\frac{26}{5}w + b))}^{2}\ with\ respect\ to\ w:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{4471}{50}w^{2} + \frac{216}{5}bw - \frac{5313}{10}w + 6b^{2} - \frac{643}{5}b + \frac{78963}{100}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{4471}{50}w^{2} + \frac{216}{5}bw - \frac{5313}{10}w + 6b^{2} - \frac{643}{5}b + \frac{78963}{100}\right)}{dw}\\=&\frac{4471}{50}*2w + \frac{216}{5}b - \frac{5313}{10} + 0 + 0 + 0\\=&\frac{4471w}{25} + \frac{216b}{5} - \frac{5313}{10}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!