### Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem3-105

3-105.

If $f^\prime(x)=\cos x$ , find two different possible expressions for $f(x)$. How many solutions are possible?

What function has a derivative of $\cos\left(x\right)$?

If you have not done so already, consider adding a constant to your first solution. After all, the derivative of a constant is $0$.