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] = [
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![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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