The derivation rule of inverse function is: the derivative of inverse function is the reciprocal of the derivative of original function.

Extended data:

The derivation rule of inverse function is: the derivative of inverse function is the reciprocal of the derivative of original function.

Example: Find the derivative function of y=arcsinx. First of all, the inverse function of the function y=arcsinx is x=siny, so: y' =1/sin' y =1/cosy.

Cosy=√ 1-x2 because x=siny.

So y' = 1/√ 1-x2.

Similarly, we can find the derivatives of several other inverse trigonometric functions. So when it comes to the derivative of the inverse function in the future, we must first find the inverse function, but the inverse function here takes X as the dependent variable and Y as the independent variable, which is different from our usual ones. Finally, try to change the idea of y to X.