How do you differentiate $y = arccos x + x \sqrt{1 - x^{2}}$ $y = arccosx + x sqrt(1-x^2)$ ?

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Answer 1 · 2015-04-17T11:03:13

What you want to do is break the problem down into parts.

#1. First you want to find the derivative of arccosx...

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#2. Next you want to find the derivative of x*(1-x^2)^(1/2)...

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#3. Once you have these two derivatives, you can now combine them to produce your final result (dy/dx)...

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How do you differentiate y = arccosx + x sqrt(1-x^2)y=arccosx+x√1−x2y = arccosx + x sqrt(1-x^2)?