4 ---------- 5 (9 + 7*x)
d / 4 \ --|----------| dx| 5| \(9 + 7*x) /
The derivative of a constant times a function is the constant times the derivative of the function.
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Differentiate term by term:
The derivative of the constant is zero.
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 is:
The result of the chain rule is:
The result of the chain rule is:
So, the result is:
The answer is:
-288120 ---------- 8 (9 + 7*x)