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Duplicate of Derivatives and Integrals Involving Natural Logs Flashcards | StudBud

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Find the derivative of y = (ln x)3

Using log rules, which expression is equivalent to ln(x2y3z)

Duplicate of Derivatives and Integrals Involving Natural Logs

6 terms·StudBud Administration·7 plays

Calculus 1 using derivatives and integrals of natural logs and e functions

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Questions 6

Answers

1
Using log rules, which expression is equivalent to ln(x²y³z)
1/x + 1/y + 1/z
2ln x + 3ln y + ln z
6(ln x + ln y + ln z)
2ln x + 3ln y + 4ln z
2
Find the derivative of y = (ln x)³
3(ln x)2
3(ln x)2∙ 1/x
3(ln x) 1/x
3/x
3
Differentiate y = (ln x)²
2/x
(ln x) / x
2 ln x
(2 ln x) / x
4
Find the area under y = 1/x from x = 3 to x = 9
ln 3 - ln 9 sq units
- 2/9 sq units
e9 - e3 sq units
ln 3 sq units
5
Find the derivative of y = ln x⁴
4/x + C
4/x
1/x4 ∙ 4x3 + C
4/x · x4
6
Find the derivative of y = ln (5x²)
1/(5x2)
2/x
2/x2
10x