find the derivative of f(x) = arcsin(-x)
No logs are involved in this problem . . .
Find the derivative of:
As AfterShock pointed out, there is a standard formula for arcsine.
If you are expected to derive this formula, you can do it . . .
We have: .
Take the sine of both sides: .
Differentiate implicitly: .
Since , .Pythagorus tell us that:
. . Hence:
And the formula becomes: .