### Home > CALC > Chapter 6 > Lesson 6.1.3 > Problem 6-38

6-38.

Differentiate the following functions with respect to the given independent variable.

2

^{log}_{2}*x*=*x*

Use the Chain Rule.

*y*' = (sec^{2}10)(ln 10) · 10^{x}^{x}

Use the Chain Rule,

.

^{y^{\prime}=(\operatorname{In}2)\cdot2^{\operatorname{cos}(w3)}\cdot\operatorname{sin}(w^3)\cdot3w^2}