Question

For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.

$u\left(x\right)=\sin x$

Short answer

The differential du in terms of the differential dxis $du=\cos xdx$.

Step-by-step solution

Step 1. Given Information

For given function u(x) we have to write the differential du in terms of the differential dx.

$u\left(x\right)=\sin x$

Step 2. Now finding the differential du in terms of the differential dx. 

$$\begin{gathered} u\left(x\right)=\sin x \\ \frac{du}{dx}=\cos x \\ du=\cos xdx \end{gathered}$$