### Home > APCALC > Chapter 5 > Lesson 5.2.1 > Problem5-53

5-53.

Let $f ( x ) = x ^ { 3 } , g ( x ) = 6 x - 1 , \text { and } h ( x ) = \operatorname { sin } ( x )$. Match each function in the left column of the table with its corresponding expression in the right column. Homework Help ✎

 a. $f^\prime(x)$ A. $3(6x – 1)^2$ b. $g^\prime(x)$ B. 6 c. $h^\prime(x)$ C. $3\operatorname{sin}^2(x)$ d. $f ^\prime(g(x))$ D. $\operatorname{cos}(x^3)$ e. $g ^\prime(f(x))$ E. $3x^2$ f. $f ^\prime(h(x))$ F. 1 g. $h ^\prime(f(x))$ G. $\operatorname{cos}(x)$

Before matching, find $f^\prime(x)$, $g^\prime(x)$, and $h^\prime(x)$.