Problem $7$:

Please find this equation derivative using numerical central difference methods and verify the results by comparing them with the exact derivatives obtained through symbolic differentiation

$f(x)=4x^4-3x^3+2x^2+e^{2x}-3sin(3x)+5cos(2x),(xin[0,3])$

Please use MATLAB to write your own codes for

$(1)$ the central difference methods to solve the given equations within the three different specified intervals $(n=11,101,1001).$

$(2)$ use MATLAB's symbolic built$-$in functions to calculate the exact derivative equation. Plot the four different results $($three numerical results and the symbolic exact solution$)$ on the same graph for comparison.