18. Verify the formula by differentiation. 5 4 -4d In 5x-4+C, x#5 The (1) can be used to verify the given formula. is equal to Using the procedure from the previous step, the verification will be complete if it can be shown that the (2) of Start by using (3) and g(x) Let f(x) and g(x) is the (5) where f(x) is the (4) Then f(x) and g'(x) Thus f (g(x)) d HenceIn (5x-4)C] Why is the verification of the given formula complete? O A. Because (fo g)'(x) f(g(x)).g'(x) O B. Because Jifx)+g(x)]dx= (x)dx+ Jgx)dx d O C. Because x [f(x)g(x)= f(x)g (x)+ g(x)f (x) O D. Because if F'(x) f(x) on an interval I, then f(x)dx F = F(x)+ C (3) o l'Hôpital's Rule. O Newton's method o the first derivative test o the mean value theorem. (5)o derivative O integral O inner function o denominator. o the chain rule. O derivative Ointegral o numerator (1) o definition of an antiderivative o constant multiple rule (2) o indefinite integral o derivative (4) O sum or difference rule O linearity rules o negative rule O outer function
18. Verify the formula by differentiation. 5 4 -4d In 5x-4+C, x#5 The (1) can be used to verify the given formula. is equal to Using the procedure from the previous step, the verification will be complete if it can be shown that the (2) of Start by using (3) and g(x) Let f(x) and g(x) is the (5) where f(x) is the (4) Then f(x) and g'(x) Thus f (g(x)) d HenceIn (5x-4)C] Why is the verification of the given formula complete? O A. Because (fo g)'(x) f(g(x)).g'(x) O B. Because Jifx)+g(x)]dx= (x)dx+ Jgx)dx d O C. Because x [f(x)g(x)= f(x)g (x)+ g(x)f (x) O D. Because if F'(x) f(x) on an interval I, then f(x)dx F = F(x)+ C (3) o l'Hôpital's Rule. O Newton's method o the first derivative test o the mean value theorem. (5)o derivative O integral O inner function o denominator. o the chain rule. O derivative Ointegral o numerator (1) o definition of an antiderivative o constant multiple rule (2) o indefinite integral o derivative (4) O sum or difference rule O linearity rules o negative rule O outer function
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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![18. Verify the formula by differentiation.
5
4
-4d
In 5x-4+C, x#5
The (1)
can be used to verify the given formula.
is equal to
Using the procedure from the previous step, the verification will be complete if it can be shown that the (2)
of
Start by using (3)
and g(x)
Let f(x)
and g(x) is the (5)
where f(x) is the (4)
Then f(x)
and g'(x)
Thus f (g(x))
d
HenceIn (5x-4)C]
Why is the verification of the given formula complete?
O A. Because (fo g)'(x) f(g(x)).g'(x)
O B. Because Jifx)+g(x)]dx= (x)dx+ Jgx)dx
d
O C. Because x [f(x)g(x)= f(x)g (x)+ g(x)f (x)
O D. Because if F'(x) f(x) on an interval I, then f(x)dx F
= F(x)+ C
(3) o l'Hôpital's Rule.
O Newton's method
o the first derivative test
o the mean value theorem.
(5)o derivative
O integral
O inner function
o denominator.
o the chain rule.
O derivative
Ointegral
o numerator
(1) o definition of an antiderivative o constant multiple rule
(2) o indefinite integral
o derivative
(4)
O sum or difference rule
O linearity rules
o negative rule
O outer function](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb10e0e4c-e061-4256-91c9-375d8e514bb5%2Fafc32026-247d-45d2-a4d8-dc4284f96a1d%2Fpvjyr7.png&w=3840&q=75)
Transcribed Image Text:18. Verify the formula by differentiation.
5
4
-4d
In 5x-4+C, x#5
The (1)
can be used to verify the given formula.
is equal to
Using the procedure from the previous step, the verification will be complete if it can be shown that the (2)
of
Start by using (3)
and g(x)
Let f(x)
and g(x) is the (5)
where f(x) is the (4)
Then f(x)
and g'(x)
Thus f (g(x))
d
HenceIn (5x-4)C]
Why is the verification of the given formula complete?
O A. Because (fo g)'(x) f(g(x)).g'(x)
O B. Because Jifx)+g(x)]dx= (x)dx+ Jgx)dx
d
O C. Because x [f(x)g(x)= f(x)g (x)+ g(x)f (x)
O D. Because if F'(x) f(x) on an interval I, then f(x)dx F
= F(x)+ C
(3) o l'Hôpital's Rule.
O Newton's method
o the first derivative test
o the mean value theorem.
(5)o derivative
O integral
O inner function
o denominator.
o the chain rule.
O derivative
Ointegral
o numerator
(1) o definition of an antiderivative o constant multiple rule
(2) o indefinite integral
o derivative
(4)
O sum or difference rule
O linearity rules
o negative rule
O outer function
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