### Home > CALC > Chapter 7 > Lesson 7.1.3 > Problem 7-28

7-28.

Differentiate each function. Homework Help ✎

*y*= (6*x*)^{20}*y*= tan(6*x*)*y*= ln(6*x*)

Chain rule.

or rewrite as *y* = 6^{20}*x*^{20} and use the Power Rule.

Recall that the derivative of *y* = tan*x* is *y*' = sec^{2}*x*..

Do you see the pattern?

Notice that all three of these problems ask you to differentiate composite functions with an 'inner' function that has a coefficient of 6.

Compare and contrast their derivatives.