Question

How do you find the derivative of the function: `arccos(arcsin x)`?

Answer 1

`dy/dx = -1/sqrt(1-(arcsin(x))^2)**1/sqrt(1-x^2)`

Explanation:

To find the derivative of `arccos(arcsin(x))`

The chain rule looks like a good choice here

Let`y=arccos(arcsin(x))`

Differentiating using `color(magenta)"Chain Rule"`

`dy/dx = -1/sqrt(1-(arcsin(x))^2)**d/dx(arcsin(x))`

`dy/dx = -1/sqrt(1-(arcsin(x))^2)**1/sqrt(1-x^2)` Answer