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Differentiate the following using product rule/quotient rule/chain rule or combined:

(a) y = (x^4 +

200x)(3x^7 - 50)

(b) y = 2x^7 - 6x^ 3 / x^2 + 4

(c) y= (2x^5 - 14x+10)^7

(d) y = -3(x^4 + 12)^4(x - 10)

(e) y= (3x+7 / 5x - 3)^5

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