y = x2 arccos x

Question

Calculus Question y = x2 arccos x I don't understand the question.

Answer 1

Are you being asked to find the derivative?  If so...

 

I assume the function is this...

 

x² arccos x

 

So you'll have to use the product rule:

 

D_x (x² arccos x) = x² D_x arccos x +  arccos x D_x  x² =

 

x² (-1 / √(1 - x²)) + arccos x (2x) =

 

-x² / √(1 - x²) + 2x arccos x

 

 

Answer 2

I'll assume that you want the derivative of y.

 

If y = x²Arccosx, then by the product rule,                                                                                                                                                                                                                                                                                                     y' = 2xArccosx + x²(-1/√[1-x²])