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What is the coefficient of the x^3 term in the binomial expansion of (2x+(1/3x^2))^9

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How do I differentiate a quadratic to the power n?

Can you differentiate the following function using two methods:- y = e^(2x+1)

A curve C has the equation x^3 + 6xy + y^2 = 0. Find dy/dx in terms of x and y.

By first expanding the brackets, differentiate the equation: y=(4x^4 + 3x)(2x^2 - 9)

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