If y=(x-1)²(3x+2)⁴ find dy/dx
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Y= (x-1)²(3x+2)⁴
dY/dx = d/dx {(x-1)²(3x+2)⁴}
= d/dx {(x - 1)^2} . (3x+2)^4 + (x-1)^2 + d/dx {(3x+2)^4}
= 2.(x-1). d/dx{(x-1)} . (3x+2)^4 + (x-1)^2 + 4.(3x+2)^3 . d/dx{(3x+2)}
= 2.(x-1). (1 + 0) . (3x+2)^4 + (x-1)^2 + 4.(3x+2)^3 . (3 +0)
= 2. (x-1) . (3x+2)^4 + (x-1)^2 + 12(3x+2)^3. (ans.)
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