APFIVE Derivative of Inverse Sine Function
All of the following statements about differentiating $$\sin^{-1}(x)$$ are true except:
A
The correct derivative is $$\frac{1}{\sqrt{1-x^2}}$$.
B
Implicit differentiation of $$y=\sin^{-1}(x)$$ leads to the derivative $$dy/dx = 1/\sqrt{1-x^2}$$.
C
The derivative is $$\frac{1}{1-x^2}$$.
D
The derivative is defined only for $$|x| < 1$$.
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | giannapettit | 2 | 2 | 0m 00s | 200 |
| #2 | adhrooster | 1 | 1 | 0m 00s | 100 |
| #3 | ziyawind9 | 1 | 1 | 0m 00s | 100 |
| #4 | srinikasriyamathur | 1 | 1 | 0m 06s | 94 |
| #5 | estevaobalestrasantana | 1 | 1 | 0m 14s | 86 |
| #6 | kamalkaren31 | 1 | 1 | 0m 15s | 85 |
| #7 | fsfa.alsharif | 1 | 1 | 4m 35s | -175 |
Items per page:
10
1 – 7 of 7