Coefficients

Derivatives with regard to

Partial derivative expressions

a

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial a}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_1$

b

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial b}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_2$

c

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial c}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_3$

d

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial d}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_4$

e

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial e}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_5$

f

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial f}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_6$

g

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial g}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_7$

h

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial h}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_8$

i

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial i}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_9$

j

$\frac{\partial J\left(a,b,c,d,e,f,g,h,i,j\right)}{\partial j}$

$\frac{1}{m}{\displaystyle \sum }_{i=0}^m\left(a{x}_1+b{x}_2+c{x}_3+d{x}_4+e{x}_5+f{x}_6+g{x}_7+h{x}_8+i{x}_9+j{x}_{10}+k-y^{\left(i\right)}\right)x_{10}$