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Differentiation of (2x-7)^2(3x+5)^3...

Differentiation of `(2x-7)^2(3x+5)^3`

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Let `y=(2x-7)^(2)(3x+5)^(3)`
`(dy)/(dx) = (2x-7)^(2)d/(dy)(3x+5)^(3)+(3x+5)^(3)d/(dx)(2x-7)^(2)` [by product rule]
`=(2x-7)^(2)(3)(3x+5)^(2)(3)+(3x+5)^(3)(2)(2x-7)(2)` [by chain rule]
`=9(2x-7)^(2)(3x+5)^(2)+4(3x+5)^(3)(2x-7)`
`=(2x-7)(3x+5)^(2)[9(2x-7)+4(3x+5)]`
`=(2x-7)(3x+5)^(2)(18x-63 + 12x+20)`
`=(2x-7)(3x+5)^(2)(30x-43)`
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