y= (x+1)^(x+3)求导数
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/04 12:04:25
y= (x+1)^(x+3)求导数
![y= (x+1)^(x+3)求导数](/uploads/image/z/19050065-17-5.jpg?t=y%3D+%28x%2B1%29%5E%28x%2B3%29%E6%B1%82%E5%AF%BC%E6%95%B0)
y =(x+1)^(x+3) = e^[ln(x+1)^(x+3)] = e^[(x+3)ln(x+1)]
dy/dx = {e^[(x+3)ln(x+1)]}×[ln(x+1)+(x+3)/(x+1)]
= [(x+1)^(x+3)]×[ln(x+1)+(x+3)/(x+1)]
dy/dx = {e^[(x+3)ln(x+1)]}×[ln(x+1)+(x+3)/(x+1)]
= [(x+1)^(x+3)]×[ln(x+1)+(x+3)/(x+1)]