Find the derivatives of the following functions. (i) y = (x² - 7x) (x - 1) (ii) y = sin(2x) (111) y=x²10x + 3, and determine its minimum value.

Q: У y = |1 - х - 1+х

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A: Explanation of the solution is given below...

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Q: (b) g(x) = (1+4x)*(3+ x – x²)®

A: ddxuv=vdudx+udvdxHere u= 1+4x5, v=3+x-x28dudx=51+4x4×4  ,   dvdx=83+x-x27×-3x2g'x=3+x-x28  5 1+4x4 4…

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