Cracking The Ap Calculus ab Exam 2018

(Marvins-Underground-K-12) #1

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.



  1. f(x) = ln (x^4 + 8)

  2. f(x) = ln (3x )

  3. f(x) = ln (cot x − csc x)

  4. f(x) = ln

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