1、一阶导数计算：因为：y=arctan(65x+30)+8x，由反正切和一次函数导数公式有：所以：dy/dx=65/[1+(65x+30)²]+8。
2、二阶导数计算：因为：dy/dx=65x /[1+(65x+30)²]+8,由函数商的求导法则有：所以：d^2y/dx^2=-65*2(65x+30)*65/[1+(65x+30)²]²+0，=-2*65²(65x+30)/[1+(65x+30)²]²。
3、三阶导数计算：因为：d²y/dx²=-8450 (65x+30)/[1+(65x+30)²]²,所以：d²y/dx²=-2*65²*{65[1+(65x+30)²]²-(65x+30)*2*[1+(65x+30)²]*130(65x+30)}/[1+(65x+30)²]⁴=-2*65²*{65[1+(65x+30)²]-(65x+30)*2*130 (65x+30)}/[1+(65x+30)²]³=-2*65²*65{[1+(65x+30)²]-4(65x+30)(65x+30)}/[1+(65x+30)²]³=-2*65²*65{[1+(65x+30)²]-4(65x+30)²}/[1+(65x+30)²]³=2*65³*[3(65x+30)²-1]/[1+(65x+30)²]³。
