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Chapter 5: Q. 11 (page 417)

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

Short Answer

Expert verified

The differential du in terms of the differential dxis $d u = \cos x d x$ .

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.

$u (x) = \sin x$

02

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

$u (x) = \sin x \frac{d u}{d x} = \cos x d u = \cos x d x$

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Most popular questions from this chapter

Suppose you use polynomial long division to divide p(x) by q(x), and after doing your calculations you end up with the polynomial $x^{2} - x + 3$ as the quotient above the top line, and the polynomial 3x − 1 at the bottom as the remainder. Then $p (x) =___a n d \frac{p (x)}{q (x)} =____$

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