Let
and
. By the product rule,

By the power rule, we have
and
, but
are functions of
, so we also need to apply the chain rule:


and we have


So we end up with

Replace
to get everything in terms of
:

We can simplify this by factoring:


Answer: e. 
Step-by-step explanation:
1. You have the following expression given in the problem:

2. To solve the exercise and find an equal expression, you must simplify that expression. Apply the Distributive property. Multiply the terms inside the parentheses by
. Then, you obtain:

Answer:
0.41791
Step-by-step explanation:
let x be the number written to the thousandth place then,
x times thousands = 417.91
or, x = 417.91/1000
therefore, x = 0.41791
and so
0.41791 thousand = 417.91