By the product and chain rules,
f'(x) = g(h(x)) + x g'(h(x)) h'(x)
Then
f'(3) = g(h(3)) + 3 g'(h(3)) h'(3)
f'(3) = g(4) + 3 g'(4) (-2)
f'(3) = g(4) - 6 g'(4)
f'(3) = 2 - 6(3)
f'(3) = -16
The topsoil will be 4.05 inches deep
<h3>Calculating depth</h3>
From the question, we are to determine how many inches deep the topsoil will be
From the given information,
The volume of the topsoil = 1 cubic yard
Convert to cubic feet
1 cubic yard = 27 cubic feet
∴ The volume of the topsoil = 27 cubic feet
Then,
The depth of the topsoil will be = 27/(8 ×10)
Depth of topsoil = 27/80
Depth of topsoil = 0.3375 foot
Now, convert to inches
1 foot = 12 inches
∴ 0.3375 foot = 0.3375×12 inches
= 4.05 inches
Hence, the topsoil will be 4.05 inches deep
Learn more on Calculating depth here: brainly.com/question/15489457
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I’m so confused. Is there any other part to the question?