BSME
1 Answer
melandrupert
We'll differentiate the given function, with respect to t.
We'll use the quotient rule:
v'(t) = [(1+3^t)'*(3^t) - (1+3^t)*(3^t)']/(3^t)^2
We'll differentiate and we'll get:
v'(t) = [(3^t*ln3)*(3^t) - (3^t*ln3)*(1+3^t)]/(3^t)^2
v'(t) = [(3^t*ln3)*(3^t - 1 -3^t)]/(3^t)^2
We'll eliminate like terms from numerator:
v'(t) = -(3^t*ln3)/(3^t)^2
We'll simplify and we'll get:
v'(t) = -(ln3)/(3^t)
v'(t) = (ln 1/3)/(3^t)
The first derivative of v(t)=(1+3^t)/3^t is:
v'(t) = (ln 1/3)/(3^t)
| 13 years ago. Rating: 1 | |
Top contributors in Mathematics category
Unanswered Questions
mb66vnuscom
Answers: 0
Views: 11
Rating: 0
Mal Grim
Answers: 0
Views: 11
Rating: 0
Nhà Đài BONG88
Answers: 0
Views: 13
Rating: 0
damangames plus
Answers: 0
Views: 14
Rating: 0
Nhà Đài ONE88
Answers: 0
Views: 13
Rating: 0
6Y6Y
Answers: 0
Views: 12
Rating: 0
Nhà Đài TX88
Answers: 0
Views: 12
Rating: 0
Nhà Đài 11BETT
> More questions...
Answers: 0
Views: 15
Rating: 0