log(2*x + 7) ------------ log(10)
log(2*x + 7)/log(10)
The derivative of a constant times a function is the constant times the derivative of the function.
Let .
The derivative of is .
Then, apply the chain rule. Multiply by :
Differentiate term by term:
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 derivative of the constant is zero.
The result is:
The result of the chain rule is:
So, the result is:
Now simplify:
The answer is:
2 ----------------- (2*x + 7)*log(10)
-4 ------------------ 2 (7 + 2*x) *log(10)
-96 ------------------ 4 (7 + 2*x) *log(10)