Derivd (2x+3)^3

Answer 1

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.