y=(x+1)2/3(x2+2x+3)1/2÷(5x-9)1/5求dy/dx
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亲!y'=2(x+2)*(x-1)^3+(x+2)^2*3(x-1)^2=(x+2)(x-1)^2*(2x-2+3x+6)=(x+2)(5x+4)(x-1)^2零点为:-2,-4/5,1在区间(负无穷,-2)及(-4/5,正无穷)上,f'(x)>=0f(x)单调递增,同理,在区间(-2,-4/5)上,f'(x)<=0,f(x)单调减少
咨询记录 · 回答于2022-06-23
y=(x+1)2/3(x2+2x+3)1/2÷(5x-9)1/5求dy/dx
亲!y'=2(x+2)*(x-1)^3+(x+2)^2*3(x-1)^2=(x+2)(x-1)^2*(2x-2+3x+6)=(x+2)(5x+4)(x-1)^2零点为:-2,-4/5,1在区间(负无穷,-2)及(-4/5,正无穷)上,f'(x)>=0f(x)单调递增,同理,在区间(-2,-4/5)上,f'(x)<=0,f(x)单调减少
y=(x+1)2/3(x2+2x+3)1/2÷(5x-9)1/5求dy/dx的答案哦亲
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