Finally, determine (x³. - x + 8) and simplify the result. Recall that multiplication is commutative and the order of factors can be rearranged. Note that it is customary to have the exponential term as the last factor. [e"]= (eu) du dx x+8] d dx -x+1 h'(x) = e+³-x+8 dx 1₁+³=x+² Therefore, if h(x) = ex3-x+8, then we have the following result. - de+³x+8] = [
Finally, determine (x³. - x + 8) and simplify the result. Recall that multiplication is commutative and the order of factors can be rearranged. Note that it is customary to have the exponential term as the last factor. [e"]= (eu) du dx x+8] d dx -x+1 h'(x) = e+³-x+8 dx 1₁+³=x+² Therefore, if h(x) = ex3-x+8, then we have the following result. - de+³x+8] = [
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 28RE
Related questions
Question
![Step 3
3
Finally, determine
(x³ = x+8)
- x + 8) and simplify the result. Recall that multiplication is commutative and the order of factors can be rearranged. Note that it is customary to have the
dx
exponential term as the last factor.
dx
-[eº]
0+3
dx
=
Therefore, if h(x)
₁²-x+] (x²-x + ₁)(
dx
=
=
d
=
=
(e“)-
du
dx
e+3
e+3
ex3
h'(x) = [ex³-x+8]
d
3
dx
- x + 8
@+3
- x + 8
- x + 8
+8, then we have the following result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd48171ba-d1cc-47b1-bf9c-8041143384f0%2Fae9b2c8c-f808-42cc-9dd6-2587cdebac21%2F53s1ms4_processed.png&w=3840&q=75)
Transcribed Image Text:Step 3
3
Finally, determine
(x³ = x+8)
- x + 8) and simplify the result. Recall that multiplication is commutative and the order of factors can be rearranged. Note that it is customary to have the
dx
exponential term as the last factor.
dx
-[eº]
0+3
dx
=
Therefore, if h(x)
₁²-x+] (x²-x + ₁)(
dx
=
=
d
=
=
(e“)-
du
dx
e+3
e+3
ex3
h'(x) = [ex³-x+8]
d
3
dx
- x + 8
@+3
- x + 8
- x + 8
+8, then we have the following result.
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