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Find Y' for Y=(2x+1)^10 20(2x+1)^10 10(2x+1)^9 20(2x+1)^9 20(2x-1)^9

Question

find y' for y=(2x+1)^10 20(2x+1)^10 10(2x+1)^9 20(2x+1)^9 20(2x-1)^9

Solution

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Resposta

To find the derivative of the function \( y = (2x+1)^{10} \), we will use the chain rule. The chain rule states that if you have a composite function \( y = f(g(x)) \), then the derivative is given by: In this case, let . Then .First, we find the derivative of with respect to : Next, we find the derivative of with respect to : Now, applying the chain rule: Substitute back into the expression: Therefore, the correct answer is: