y=(x+1)(x+2)(x+3)的导数?
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y=(x+1)(x+2)(x+3)的导数?
![y=(x+1)(x+2)(x+3)的导数?](/uploads/image/z/14996711-47-1.jpg?t=y%3D%EF%BC%88x%2B1%EF%BC%89%28x%2B2%29%28x%2B3%EF%BC%89%E7%9A%84%E5%AF%BC%E6%95%B0%3F)
y=(x+1)(x+2)(x+3)
=(x+1)'(x+2)(x+3)+(x+1)(x+2)'(x+3)+(x+1)(x+2)(x+3)'
=(x+2)(x+3)+(x+1)(x+3)+(x+1)(x+2)
=x²+5x+6+x²+4x+3+x²+3x+2
=3x²+12x+11
=(x+1)'(x+2)(x+3)+(x+1)(x+2)'(x+3)+(x+1)(x+2)(x+3)'
=(x+2)(x+3)+(x+1)(x+3)+(x+1)(x+2)
=x²+5x+6+x²+4x+3+x²+3x+2
=3x²+12x+11