求下列函数的全微分(设其可微):(1)[tex=5.429x1.286]S0BFrBqre6Af5Gp+nOGKRA==[/tex];(2)[tex=8.071x1.286]ErRQ9jHNUTcVvKf+dhU+Kg7BMAKqKksqwC9F4wBNmOQ=[/tex];(3)[tex=10.0x1.286]YWYBASUY/nkH9xj3J/TlpSGNivDvLj4wGzpayk93MdyPl1ftqyX23inlZRaPzAVG[/tex];
举一反三
- 9判别下列函数是否是周期函数,若是周期函数,求其周期 :(1) [tex=8.357x1.357]jijpvC8Aw74QOOOJh5Va05j3PtA64Pms1Q5qDGlqeN4=[/tex](2) [tex=5.643x1.357]TG5DUF3HrCbhIJWDEcp5Pj9u3e2PUgpbN4NJQ6DZXLw=[/tex](3) [tex=5.714x1.357]SBxtvKszj8+jJcycMEKn5vqfhi5GLWqH4Gac9QRbIHc=[/tex](4) [tex=6.929x1.357]NZ5EVFRfE4pFsgkbEOhFkNg5/qZx8geAT5eL+yzbq1Q=[/tex]
- 利用微分,求下列近似值:(1)[tex=2.571x2.0]1gkPHMmDFl17xiZlURulcg==[/tex](2)[tex=2.429x1.429]USggBAjFomMY4e0NLutPiA==[/tex](3)[tex=2.143x1.214]042jw9WE645b3wxL0waCXw==[/tex](4)[tex=2.786x1.0]zIDxscziz4XQWvCmOgHhvQ==[/tex]
- 求下列函数的导函数:(1) [tex=5.0x2.357]X/CieCDGJ7iPQ3YFWuscHxHrcIE/dPFa9tFyiJXze8A=[/tex](2)[tex=6.643x1.714]Oj74y/L+OxY81QME5JWMcl+7PZ2FGQswwvjgVhjq1Dmb6dBU0oAjZBW7eFBVjqo6[/tex]
- 若:(1)函数 f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]有导数,而函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数;(2)函数f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]没有导数,而函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]有导数;(3)函数f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]没有导数及函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数,则函数[tex=5.643x1.357]GmtX7Vop79exGU/rpqXUYw==[/tex]在已知点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]的可微性怎样?
- 设函数$y = f({x^3})$可导,求函数的二阶导数$y'' = $( ) A: $6xf'({x^3}) + 9{x^4}f''({x^3})$ B: $6f'({x^3}) + 9{x^3}f''({x^3})$ C: $6xf'({x^3}) + 9{x^3}f''({x^3})$ D: $6{x^2}f'({x^3}) + 9{x^3}f''({x^3})$