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Question

If y=(x2+2x)(3x4), then find dydx.

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Solution

Here, u(x)=x2+2x,v(x)=3x4.
Using quotient rule, we get
dydx=(3x4)d(x2+2x)dx(x2+2x)d(3x4)dx(3x4)2
=(3x4)(2x+3)(x2+2x)3(3x4)2
=3x28x8(3x4)2.

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