A rectangular prism has a length of 8 in., a width of 4 in., and a height of 214 in. The prism is filled with cubes that have ed
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f(g(11)) = -6
Solution:
Given data:
<u>To find f(g(11)):</u>
Substitute x = 11 in g(x).
Substitute g(11) = 3 in f(g(11)).
= -6
Hence f(g(11)) = -6.
First of all, recall that y is a product of function of x. We have three factors:
The derivative of a product of function is computed by deriving one function at the time, and then adding all the results:
Let's compute the derivative of each function first:
Now plug f, f', g, g', h, h' in the formula above as required: