$(10$ points$)$ Let $f(x)=sin(x),$ where $x$ is measured in radians. Use the central$-$difference, forward$-$difference and buckwarddifference formulas of order $O(h^2)$ to calculate an approximation to $f^{\text{'}}(0\mathrm{.}6)$ with five digits. Compare your answer with the acrual derivate of $sin(x)$ at $x=0\mathrm{.}6$ with five digits and rounding.