Compute the first and second derivatives of (x+4)e^x. Give the intervals wherethe function isa) increasingb) decreasingc) concave upd) concave down
Compute the first and second derivatives of (x+4)e^x
. Give the intervals where
the function is
a) increasing
b) decreasing
c) concave up
d) concave down
Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.
Consider the given expression as f(x).
Calculate the first derivative using addition rule of differentiation.
Again, calculate the second derivative using addition rule of differentiation.
Now, find the critical points for f(x).
x = -5 is the critical point.
Find the monotone interval and create monotone interval table for f(x).
(a)
Refer the table in step 4 to find the interval in which f(x) is increasing.
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