本次共计算 1 个题目：每一题对 x 求 1 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数(1 + 0.18138x) + (1 - 0.29619x) + {(1 + 0.18138x)}^{4} + 2{(1 + 0.18138x)}^{2}{(1 - 0.29619x)}^{2} + 8{(1 + 0.18138x)}^{2}{(1 - 0.29619x)}^{6} 关于 x 的 1 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = 0.18138x - 0.29619x + 0.00577230903724908x^{4} - 0.019488534512472x^{3} - 0.019488534512472x^{3} + 0.0657974088x^{2} + 0.031824396500436x^{3} - 0.1074458844x^{2} - 0.1074458844x^{2} + 0.36276x + 0.031824396500436x^{3} - 0.1074458844x^{2} - 0.1074458844x^{2} + 0.36276x + 0.1754570322x^{2} - 0.59238x - 0.59238x + 0.2631896352(-0.29619x + 1)^{6}x^{2} + 1.45104(-0.29619x + 1)^{6}x + 1.45104(-0.29619x + 1)^{6}x + 8(-0.29619x + 1)^{6} + 0.00108232475119858x^{4} + 0.005967167004072x^{3} + 0.005967167004072x^{3} + 0.0328987044x^{2} + 0.005967167004072x^{3} + 0.0328987044x^{2} + 0.0328987044x^{2} + 0.18138x + 0.005967167004072x^{3} + 0.0328987044x^{2} + 0.0328987044x^{2} + 0.18138x + 0.0328987044x^{2} + 0.18138x + 0.18138x + 5\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( 0.18138x - 0.29619x + 0.00577230903724908x^{4} - 0.019488534512472x^{3} - 0.019488534512472x^{3} + 0.0657974088x^{2} + 0.031824396500436x^{3} - 0.1074458844x^{2} - 0.1074458844x^{2} + 0.36276x + 0.031824396500436x^{3} - 0.1074458844x^{2} - 0.1074458844x^{2} + 0.36276x + 0.1754570322x^{2} - 0.59238x - 0.59238x + 0.2631896352(-0.29619x + 1)^{6}x^{2} + 1.45104(-0.29619x + 1)^{6}x + 1.45104(-0.29619x + 1)^{6}x + 8(-0.29619x + 1)^{6} + 0.00108232475119858x^{4} + 0.005967167004072x^{3} + 0.005967167004072x^{3} + 0.0328987044x^{2} + 0.005967167004072x^{3} + 0.0328987044x^{2} + 0.0328987044x^{2} + 0.18138x + 0.005967167004072x^{3} + 0.0328987044x^{2} + 0.0328987044x^{2} + 0.18138x + 0.0328987044x^{2} + 0.18138x + 0.18138x + 5\right)}{dx}\\=&0.18138 - 0.29619 + 0.00577230903724908*4x^{3} - 0.019488534512472*3x^{2} - 0.019488534512472*3x^{2} + 0.0657974088*2x + 0.031824396500436*3x^{2} - 0.1074458844*2x - 0.1074458844*2x + 0.36276 + 0.031824396500436*3x^{2} - 0.1074458844*2x - 0.1074458844*2x + 0.36276 + 0.1754570322*2x - 0.59238 - 0.59238 + 0.2631896352(6(-0.29619x + 1)^{5}(-0.29619 + 0))x^{2} + 0.2631896352(-0.29619x + 1)^{6}*2x + 1.45104(6(-0.29619x + 1)^{5}(-0.29619 + 0))x + 1.45104(-0.29619x + 1)^{6} + 1.45104(6(-0.29619x + 1)^{5}(-0.29619 + 0))x + 1.45104(-0.29619x + 1)^{6} + 8(6(-0.29619x + 1)^{5}(-0.29619 + 0)) + 0.00108232475119858*4x^{3} + 0.005967167004072*3x^{2} + 0.005967167004072*3x^{2} + 0.0328987044*2x + 0.005967167004072*3x^{2} + 0.0328987044*2x + 0.0328987044*2x + 0.18138 + 0.005967167004072*3x^{2} + 0.0328987044*2x + 0.0328987044*2x + 0.18138 + 0.0328987044*2x + 0.18138 + 0.18138 + 0\\=&0.0230892361489963x^{3} - 0.058465603537416x^{2} - 0.058465603537416x^{2} + 0.1315948176x + 0.095473189501308x^{2} - 0.2148917688x - 0.2148917688x + 0.095473189501308x^{2} - 0.2148917688x - 0.2148917688x + 0.3509140644x + 0.00106620909516626x^{7} - 0.00359974710546022x^{6} - 0.00359974710546022x^{6} + 0.0121535065514036x^{5} - 0.00359974710546022x^{6} + 0.0121535065514036x^{5} + 0.0121535065514036x^{5} - 0.0410328051298273x^{4} - 0.00359974710546022x^{6} + 0.0121535065514036x^{5} + 0.0121535065514036x^{5} - 0.0410328051298273x^{4} + 0.0121535065514036x^{5} - 0.0410328051298273x^{4} - 0.0410328051298273x^{4} + 0.138535416893978x^{3} - 0.00359974710546022x^{6} + 0.0121535065514036x^{5} + 0.0121535065514036x^{5} - 0.0410328051298273x^{4} + 0.0121535065514036x^{5} - 0.0410328051298273x^{4} - 0.0410328051298273x^{4} + 0.138535416893978x^{3} + 0.0121535065514036x^{5} - 0.0410328051298273x^{4} - 0.0410328051298273x^{4} + 0.138535416893978x^{3} - 0.0410328051298273x^{4} + 0.138535416893978x^{3} + 0.138535416893978x^{3} - 0.467724828299328x^{2} + 0.5263792704(-0.29619x + 1)^{6}x + 0.00587831676682249x^{6} - 0.0198464389980164x^{5} - 0.0198464389980164x^{5} + 0.0670057699382708x^{4} - 0.0198464389980164x^{5} + 0.0670057699382708x^{4} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} - 0.0198464389980164x^{5} + 0.0670057699382708x^{4} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} - 0.226225631987139x^{3} + 0.763785516010464x^{2} - 0.0198464389980164x^{5} + 0.0670057699382708x^{4} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} - 0.226225631987139x^{3} + 0.763785516010464x^{2} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} - 0.226225631987139x^{3} + 0.763785516010464x^{2} - 0.226225631987139x^{3} + 0.763785516010464x^{2} + 0.763785516010464x^{2} - 2.5787012256x + 0.00587831676682249x^{6} - 0.0198464389980164x^{5} - 0.0198464389980164x^{5} + 0.0670057699382708x^{4} - 0.0198464389980164x^{5} + 0.0670057699382708x^{4} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} - 0.0198464389980164x^{5} + 0.0670057699382708x^{4} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} - 0.226225631987139x^{3} + 0.763785516010464x^{2} - 0.0198464389980164x^{5} + 0.0670057699382708x^{4} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} - 0.226225631987139x^{3} + 0.763785516010464x^{2} + 0.0670057699382708x^{4} - 0.226225631987139x^{3} - 0.226225631987139x^{3} + 0.763785516010464x^{2} - 0.226225631987139x^{3} + 0.763785516010464x^{2} + 0.763785516010464x^{2} - 2.5787012256x + 1.45104(-0.29619x + 1)^{6} + 1.45104(-0.29619x + 1)^{6} + 0.0324088475400953x^{5} - 0.109419114555168x^{4} - 0.109419114555168x^{4} + 0.369422041781182x^{3} - 0.109419114555168x^{4} + 0.369422041781182x^{3} + 0.369422041781182x^{3} - 1.24724684081563x^{2} - 0.109419114555168x^{4} + 0.369422041781182x^{3} + 0.369422041781182x^{3} - 1.24724684081563x^{2} + 0.369422041781182x^{3} - 1.24724684081563x^{2} - 1.24724684081563x^{2} + 4.2109687728x - 0.109419114555168x^{4} + 0.369422041781182x^{3} + 0.369422041781182x^{3} - 1.24724684081563x^{2} + 0.369422041781182x^{3} - 1.24724684081563x^{2} - 1.24724684081563x^{2} + 4.2109687728x + 0.369422041781182x^{3} - 1.24724684081563x^{2} - 1.24724684081563x^{2} + 4.2109687728x - 1.24724684081563x^{2} + 4.2109687728x + 4.2109687728x + 0.00432929900479432x^{3} + 0.017901501012216x^{2} + 0.017901501012216x^{2} + 0.0657974088x + 0.017901501012216x^{2} + 0.0657974088x + 0.0657974088x + 0.017901501012216x^{2} + 0.0657974088x + 0.0657974088x + 0.0657974088x - 14.06565\\ \end{split}\end{equation} \]

你的问题在这里没有得到解决？请到 热门难题 里面看看吧！