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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

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

Calculus: Early Transcendentals
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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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
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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