Exercise $4$

Plot $y=sin(6x)$ in red with a solid line and the Taylor polynomial approximation $z=6x-36x^3$ in blue with a dashed line for $-\frac{}{6}x\frac{}{6}$ on the same plot.

Hint: Use plot$(x,y,{?}^{\text{'}}{r}^{\text{'}},x,z,{?}^{\text{'}}-=.$

Add a grid to the plot using the command grid on$.$

Type axis tight to set the axis limits to the range of the data.

NOTE: Use semicolon to suppress the output when you define the vectors $x,y$ and $z.$ Make sure you use enough points for your graph so that the resulting curves are nice and smooth.provide a matlMatlab code with grapgraphs please not useduse used a chatgpt