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1.y=〔sin(2x-1)+2〕^32.y=(x+1)^4(x-2)^4
题目详情
1.y=〔sin(2x-1)+2〕^3
2.y=(x+1)^4(x-2)^4
2.y=(x+1)^4(x-2)^4
▼优质解答
答案和解析
y’=3(sin(2x-1)+2〕^2*【sin(2x-1)+2】’
=3(sin(2x-1)+2〕^2*(2cos(2x-1))
=6(sin(2x-1)+2〕^2*cos(2x-1)
y'=(x+1)^4[(x-2)^4]'+[(x+1)^4]'(x-2)^4
=4(x+1)^4(x-2)^3+4(x+1)^3(x-2)^4
=4(x+1)^3(x-2)^3 (2x-1)
=3(sin(2x-1)+2〕^2*(2cos(2x-1))
=6(sin(2x-1)+2〕^2*cos(2x-1)
y'=(x+1)^4[(x-2)^4]'+[(x+1)^4]'(x-2)^4
=4(x+1)^4(x-2)^3+4(x+1)^3(x-2)^4
=4(x+1)^3(x-2)^3 (2x-1)
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