Foundations of Data Science Part B

Consider a function $F=x^3+5x^{2}sin(x)+50x.$ Using gradient descent method perform the searching of the values of $x$ in the interval of $-6$ to $6,$ in the following conditions

a$.$ When the learning rate is $0\mathrm{.}01$ provide $4$ iterations starting $x$ values is $3.$

b$.$ When the learning rate is $0\mathrm{.}02$ provide $4$ iterations starting $x$ values is $-3.$

$[7]$