APFIVE Derivative of a Composite Logarithmic Function
For the function $$f(x)=\ln(\sqrt{x^2+1})$$, simplify the expression and calculate $$f'(0)$$.
TABLE:
| x | f(x) = \ln(\sqrt{x^2+1}) |
|---|---|
| 0 | \ln(1)=0 |
A
$$1$$
B
$$\frac{1}{2}$$
C
$$0$$
D
$$\frac{1}{(0^2+1)}$$
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | 902172 | 1 | 1 | 0m 53s | 47 |
| #2 | aurorachris0601 | 1 | 1 | 1m 02s | 38 |
| #3 | manyab1708 | 1 | 1 | 1m 31s | 9 |
| #4 | ratankboth | 0 | 1 | 0m 00s | -10 |
| #5 | estevaobalestrasantana | 1 | 1 | 2m 15s | -35 |
| #6 | choiwonryeol | 1 | 4 | 2m 19s | -69 |
| #7 | suhanakochhar006 | 0 | 1 | 1m 39s | -109 |
| #8 | psak12 | 1 | 3 | 5m 13s | -233 |
| #9 | yeejayc | 1 | 2 | 5m 47s | -257 |
| #10 | fsfa.alsharif | 0 | 1 | 4m 34s | -284 |
Items per page:
10
1 – 10 of 10