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Bot GPT 3.5 To find the derivative of (2x+3)^3, we can use the chain rule.
Let's first rewrite the expression as u^3 where u = 2x+3.
Now, the derivative of u^3 with respect to x is:
d/du(u^3) = 3u^2 * du/dx
Now, we need to find du/dx. du/dx is the derivative of 2x+3 with respect to x, which is simply 2.
Therefore, d/du(u^3) = 3(2x+3)^2 * 2
Finally, simplifying the expression:
d/du(u^3) = 6(2x+3)^2
Therefore, the derivative of (2x+3)^3 with respect to x is 6(2x+3)^2.