### Home > CALC > Chapter 5 > Lesson 5.2.1 > Problem 5-52

5-52.

Differentiate if possible. If the function is one we have not yet studied, say so and explain how you know. Be sure to use the appropriate notation. Homework Help ✎

*y*=*x*^{100}+ 100*x**y*=*x*· 2^{x}*y*=*x*^{8}cos*x**f*(*x*) =*x*^{5}(*x*^{3}+ π)

You have the skills to find the derivative of five out of six of the problems below.

Power Rule.

Before differentiating, rewrite the square root with a fractional exponent.

Do you know how to find a derivative of 2* ^{x}*?

Distribute first. Or use the Product Rule.

Before differentiating, rewrite the first fraction with exponents.