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Chapter 5: Q. 9 (page 417)

For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
$u (x) = x^{2} + x + 1$

Short Answer

Expert verified

The differential du in terms of the differential dxis $d u = (2 x + 1) d x$ .

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.

$u (x) = x^{2} + x + 1$

02

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

$u (x) = x^{2} + x + 1 \frac{d u}{d x} = 2 x + 1 d u = (2 x + 1) d x$

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