Find The Derivative of the Function x^2√(1-x^2)

__f(x)=(x^2)(√(1-x^2))__

f'(x)=(2x)(√(1-x^2))+(x^2)(1/2)(√(1-x^2))^-1)(-2x)

f'(x)=(2x)((1-x^2)^1/2)+(x^2)(1/2)(√(1-x^2)^-1)(-2x)

f'(x)=√(4x^2-4x^4)+(1/2)(-2x^3)(1/(√(1-x^2))

umm i'm lost, i probably didn't even get the above right (sorry the format sucks pretty bad)

http://mathway.com/math_image.aspx?p...MB03?p=66?p=22

never mind i found a picture

Re: Find The Derivative of the Function x^2√(1-x^2)

I find your notation very difficult to read.

I'd use the product rule.

Let

then

Let

then

You should be able to proceed from here.

Re: Find The Derivative of the Function x^2√(1-x^2)

and

Re: Find The Derivative of the Function x^2√(1-x^2)