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Chapter 5: Q. 11 (page 417)

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

u(x)=sinx

Short Answer

Expert verified

The differential du in terms of the differential dxis du=cosxdx.

Step by step solution

01

Step 1. Given Information

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

u(x)=sinx

02

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

u(x)=sinxdudx=cosxdu=cosxdx

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Most popular questions from this chapter

Problem Zero: Read the section and make your own summary of the material.

For each integral in Exercises 5鈥�8, write down three integrals that will have that form after a substitution of variables.

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

u(x)=x2+1
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