Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 += dx V [In(u)] + dx [In(v)] = dx 1 u 1 -3x + 7 d dx dv dx 1 d ] ) + ( x + 7) + (x + 7) X+7 dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 59CR
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Step 3
Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7.
1
d
dx
[In(v)]
V
-[In(u)] +
dx
=
=
1
u
du
dx
+
1
d
-3x + 7 dx
dv
dx
1
) + ( + + 7) = ² ( x + 7)
d
-(x
x
dx
Transcribed Image Text:Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. 1 d dx [In(v)] V -[In(u)] + dx = = 1 u du dx + 1 d -3x + 7 dx dv dx 1 ) + ( + + 7) = ² ( x + 7) d -(x x dx
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