/ 2\ \(3*x) / e
/ / 2\\ d | \(3*x) /| --\e / dx
Let .
The derivative of is itself.
Then, apply the chain rule. Multiply by :
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The result of the chain rule is:
The result of the chain rule is:
Now simplify:
The answer is:
/ 2\ / 2\ \(3*x) / 18*\1 + 18*x /*e
/ 2\ / 2\ \(3*x) / 972*x*\1 + 6*x /*e