## Find the derivative with respect to x of y = (3x + x2)5. A. (3 + 2x) 5 B. 5(3x + x2)4(3 + 2x) C. 5(3x + x2)4 D. 5(3 + 2x)

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## Answers ( No )

When you have a function that is in the form of (f(x))^n, the derivative of the function will have the formula:n * (f(x))^(n-1) * f'(x)

The given function is:y = (3x+x^2) ^ 5

Based on the above, the derivative with respect to x would be:5 * (3x+x^2)^(5-1) * f'(3x+x^2)

This would give a result of:

5 * (3x+x^2)^4 * (3+2x)

Comparing the calculated derivative with the given choices, the right choice would be:B. 5 * (3x+x^2)^4 * (3+2x)

y = 3x +x²

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