Derivative of a Vector Valued Function

Question

The vector-valued function $$\mathbf{r}$$ is defined by $$\mathbf{r}(t)= \langle e^{t}, \ln(t+1) \rangle$$ for $$t\ge0$$. What is $$\mathbf{r}'(t)$$?

Accepted Answer

The derivative is $$\langle e^{t},\frac{1}{t+1} \rangle$$.

Answer

The derivative is $$\langle e^{t},\frac{1}{\ln(t+1)} \rangle$$.

Answer

The derivative is $$\langle e^{t},\frac{d}{dt}\ln(t+1) \rangle = \langle e^{t},\frac{1}{t} \rangle$$.

Answer

The derivative is $$\langle e^{t},\ln(t+1) \rangle$$.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	wangwanqioier	1	1	0m 13s	87
#2	yeee5864	1	1	0m 32s	68
#3	lluatic	1	1	1m 58s	-18
#4	y.seong2027	0	1	2m 12s	-142

Question Leaderboard