本次共计算 1 个题目:每一题对 x 求 2 阶导数。
注意,变量是区分大小写的。\[ \begin{equation}\begin{split}【1/1】求函数-12810sec(3)(x)csc(7)(x) - 30744tan(3)(x)cot(x)sec(x)csc(5)(x) 关于 x 的 2 阶导数:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = -12810x^{2}sec(3)csc(7) - 30744x^{2}tan(3)cot(x)sec(x)csc(5)\\&\color{blue}{函数的第 1 阶导数:}\\&\frac{d\left( -12810x^{2}sec(3)csc(7) - 30744x^{2}tan(3)cot(x)sec(x)csc(5)\right)}{dx}\\=&-12810*2xsec(3)csc(7) - 12810x^{2}sec(3)tan(3)*0csc(7) - 12810x^{2}sec(3)*-csc(7)cot(7)*0 - 30744*2xtan(3)cot(x)sec(x)csc(5) - 30744x^{2}sec^{2}(3)(0)cot(x)sec(x)csc(5) - 30744x^{2}tan(3)*-csc^{2}(x)sec(x)csc(5) - 30744x^{2}tan(3)cot(x)sec(x)tan(x)csc(5) - 30744x^{2}tan(3)cot(x)sec(x)*-csc(5)cot(5)*0\\=&-25620xsec(3)csc(7) - 61488xtan(3)cot(x)sec(x)csc(5) + 30744x^{2}tan(3)sec(x)csc^{2}(x)csc(5) - 30744x^{2}tan(x)tan(3)cot(x)sec(x)csc(5)\\\\ &\color{blue}{函数的第 2 阶导数:} \\&\frac{d\left( -25620xsec(3)csc(7) - 61488xtan(3)cot(x)sec(x)csc(5) + 30744x^{2}tan(3)sec(x)csc^{2}(x)csc(5) - 30744x^{2}tan(x)tan(3)cot(x)sec(x)csc(5)\right)}{dx}\\=&-25620sec(3)csc(7) - 25620xsec(3)tan(3)*0csc(7) - 25620xsec(3)*-csc(7)cot(7)*0 - 61488tan(3)cot(x)sec(x)csc(5) - 61488xsec^{2}(3)(0)cot(x)sec(x)csc(5) - 61488xtan(3)*-csc^{2}(x)sec(x)csc(5) - 61488xtan(3)cot(x)sec(x)tan(x)csc(5) - 61488xtan(3)cot(x)sec(x)*-csc(5)cot(5)*0 + 30744*2xtan(3)sec(x)csc^{2}(x)csc(5) + 30744x^{2}sec^{2}(3)(0)sec(x)csc^{2}(x)csc(5) + 30744x^{2}tan(3)sec(x)tan(x)csc^{2}(x)csc(5) + 30744x^{2}tan(3)sec(x)*-2csc^{2}(x)cot(x)csc(5) + 30744x^{2}tan(3)sec(x)csc^{2}(x)*-csc(5)cot(5)*0 - 30744*2xtan(x)tan(3)cot(x)sec(x)csc(5) - 30744x^{2}sec^{2}(x)(1)tan(3)cot(x)sec(x)csc(5) - 30744x^{2}tan(x)sec^{2}(3)(0)cot(x)sec(x)csc(5) - 30744x^{2}tan(x)tan(3)*-csc^{2}(x)sec(x)csc(5) - 30744x^{2}tan(x)tan(3)cot(x)sec(x)tan(x)csc(5) - 30744x^{2}tan(x)tan(3)cot(x)sec(x)*-csc(5)cot(5)*0\\=&-25620sec(3)csc(7) - 61488tan(3)cot(x)sec(x)csc(5) + 122976xtan(3)sec(x)csc^{2}(x)csc(5) - 122976xtan(x)tan(3)cot(x)sec(x)csc(5) + 61488x^{2}tan(x)tan(3)sec(x)csc^{2}(x)csc(5) - 61488x^{2}tan(3)cot(x)sec(x)csc^{2}(x)csc(5) - 30744x^{2}tan(3)cot(x)sec^{3}(x)csc(5) - 30744x^{2}tan(3)tan^{2}(x)cot(x)sec(x)csc(5)\\ \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!