Answer: First, use the rules of logarithms to rewrite the equation.
y = [3log 8 x − log 8 (1 + x^2 )]
Now it’s much easier to find the derivative.
PROBLEM 6. Find the derivative of y = 5.
Answer: Use Rule No. 8.
PROBLEM 7. Find the derivative of y = .
Answer: Here, you need to use the Quotient Rule and Rules Nos. 4 and 8.
PRACTICE PROBLEM SET 14
Now find the derivative of each of the following functions. The answers are in Chapter 19.
- f(x) = ln (x^4 + 8)
- f(x) = ln (3x )
- f(x) = ln (cot x − csc x)
- f(x) = ln