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Dy/dx=1/(x-1)³(x-2) |
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Answer» -STEP EXPLANATION:tion.[Math Processing Error]y=(x+2)(x−1)(x+3)(1)Taking logarithms,lny=LN(x+2)+ln(x−1)+ln(x+3)DIFFERENTIATING w.r.t x ,1y\dy\dx=1x+2+1x−1+1x+3\dy\dx=y(1x+2+1x−1+1x+3)From (1): \dy\dx=(x−1)(x+3)+(x+2)(x+3)+(x+2)(x−1)\dy\dx=(x−1)(x+3)+(x+2)(x+3+x−1)\dy\dx=(x2+2x−3)+(2x2+6x+4)\dy\dx=3x2+8x+1 |
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