APFIVE Derivative of the Inverse Sine Function
All of the following statements about the derivative of $$\sin^{-1}(x)$$ are true EXCEPT:
A
The derivative of $$\sin^{-1}(x)$$ is $$\frac{1}{\sqrt{1-x^2}}$$.
B
The derivative of $$\sin^{-1}(x)$$ is $$\frac{1}{1-x^2}$$.
C
Implicit differentiation of $$y=\sin^{-1}(x)$$ leads to the relation $$\cos(y)*(dy/dx)=1$$, resulting in the correct derivative.
D
The derivative is only defined for $$|x| < 1$$.
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | haneesh19.12 | 2 | 2 | 0m 00s | 200 |
| #2 | choiwonryeol | 2 | 2 | 0m 16s | 184 |
| #3 | manyab1708 | 2 | 2 | 0m 31s | 169 |
| #4 | chanminpark1105 | 1 | 1 | 0m 04s | 96 |
| #5 | yeejayc | 1 | 1 | 0m 25s | 75 |
| #6 | 902172 | 1 | 1 | 0m 30s | 70 |
| #7 | aurorachris0601 | 1 | 2 | 3m 36s | -126 |
| #8 | fsfa.alsharif | 1 | 1 | 4m 10s | -150 |
| #9 | psak12 | 0 | 1 | 11m 52s | -722 |
Items per page:
10
1 – 9 of 9