_____ \/ 2*x - 3 ----------- 6
/ _____ \ d |\/ 2*x - 3| --|-----------| dx\ 6 /
The derivative of a constant times a function is the constant times the derivative of the function.
Differentiate term by term:
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 derivative of the constant is zero.
The result is:
So, the result is:
The answer is: