微积分练习题1.y=sin3xcos5x dy/dx=?2.y=cot^34x dy/dx=?3.cosxy +y^2=1 球关于阴函数的dy/dx=?4.y=cos^-1 跟号1/x dy/dx=?5.y=tan^-1(3x^2) dy/dx=?6.y=log|x^2-3x| y'=?7.y=(x^2+2)(x^2+3)/x^2+1 y'=?8.y=ln(lnx)/(x+1)^49.x^2lny=3 dy/dx=?10.lnxy+e^
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![微积分练习题1.y=sin3xcos5x dy/dx=?2.y=cot^34x dy/dx=?3.cosxy +y^2=1 球关于阴函数的dy/dx=?4.y=cos^-1 跟号1/x dy/dx=?5.y=tan^-1(3x^2) dy/dx=?6.y=log|x^2-3x| y'=?7.y=(x^2+2)(x^2+3)/x^2+1 y'=?8.y=ln(lnx)/(x+1)^49.x^2lny=3 dy/dx=?10.lnxy+e^](/uploads/image/z/9940926-30-6.jpg?t=%E5%BE%AE%E7%A7%AF%E5%88%86%E7%BB%83%E4%B9%A0%E9%A2%981.y%3Dsin3xcos5x+dy%2Fdx%3D%3F2.y%3Dcot%5E34x+dy%2Fdx%3D%3F3.cosxy+%2By%5E2%3D1+%E7%90%83%E5%85%B3%E4%BA%8E%E9%98%B4%E5%87%BD%E6%95%B0%E7%9A%84dy%2Fdx%3D%3F4.y%3Dcos%5E-1+%E8%B7%9F%E5%8F%B71%2Fx+dy%2Fdx%3D%3F5.y%3Dtan%5E-1%283x%5E2%29+dy%2Fdx%3D%3F6.y%3Dlog%7Cx%5E2-3x%7C+y%27%3D%3F7.y%3D%28x%5E2%2B2%29%28x%5E2%2B3%29%2Fx%5E2%2B1+y%27%3D%3F8.y%3Dln%28lnx%29%2F%28x%2B1%29%5E49.x%5E2lny%3D3+dy%2Fdx%3D%3F10.lnxy%2Be%5E)
微积分练习题1.y=sin3xcos5x dy/dx=?2.y=cot^34x dy/dx=?3.cosxy +y^2=1 球关于阴函数的dy/dx=?4.y=cos^-1 跟号1/x dy/dx=?5.y=tan^-1(3x^2) dy/dx=?6.y=log|x^2-3x| y'=?7.y=(x^2+2)(x^2+3)/x^2+1 y'=?8.y=ln(lnx)/(x+1)^49.x^2lny=3 dy/dx=?10.lnxy+e^
微积分练习题
1.y=sin3xcos5x dy/dx=?
2.y=cot^34x dy/dx=?
3.cosxy +y^2=1 球关于阴函数的dy/dx=?
4.y=cos^-1 跟号1/x dy/dx=?
5.y=tan^-1(3x^2) dy/dx=?
6.y=log|x^2-3x| y'=?
7.y=(x^2+2)(x^2+3)/x^2+1 y'=?
8.y=ln(lnx)/(x+1)^4
9.x^2lny=3 dy/dx=?
10.lnxy+e^xy=0 dy/dx=?
11.y=(sinx)^x y'=?
能说明解题过程的话十分感谢
微积分练习题1.y=sin3xcos5x dy/dx=?2.y=cot^34x dy/dx=?3.cosxy +y^2=1 球关于阴函数的dy/dx=?4.y=cos^-1 跟号1/x dy/dx=?5.y=tan^-1(3x^2) dy/dx=?6.y=log|x^2-3x| y'=?7.y=(x^2+2)(x^2+3)/x^2+1 y'=?8.y=ln(lnx)/(x+1)^49.x^2lny=3 dy/dx=?10.lnxy+e^
我只看几道,其它的你自己到书上找到公式很简单的其实,就是套一下公式,过程都一样的
1.用到(uv)'=u'v+uv' 和复合函数的导数
y’=(sin3xcos5x)'
=(sin3x)'cos5x+sin3x(cos5x)'
=cos3x*(3x)'*cos5x+sin3x(-sin5x*(5x)')
=3cos3xcos5x-5sin3xsin5x
=3cos8x-2sin3xsin5x (三角函数cos(a+b)化简,可省略)
如果这个你看不明白,我也没办法了,你得去问下同学或者老师啦.
能看懂的话,我想你的基础还是不错的,下面的问题你只要记住了基本函数的求导公式就很简单了
6.含绝对值的函数不能直接求导数,要先把绝对值符号去掉
log的自变量要大于零,所以,x不能取0和3
0
题太多,打起来麻烦。。。要是能写纸上就好了,
其实这些题就是要会一些微分的算法就很简单了,