Question

How do you find the derivative of the function: `y = arccosx + x sqrt(1-x^2)`?

Answer 1

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

Explanation:

`y=arccos x +xsqrt(1-x^2)`

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

after simplification

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