Find the derivative of y=arccos(x1+x2)y=\arccos\left(\frac{x}{\sqrt{1+x^2}}\right)y=arccos(1+x2x).
y′=−11+x2y'=-\frac{1}{1+x^2}y′=−1+x21
y′=11+x2y'=\frac{1}{1+x^2}y′=1+x21
y′=1(1+x2)3/2y'=\frac{1}{(1+x^2)^{3/2}}y′=(1+x2)3/21
y′=−1(1+x2)3/2y'=-\frac{1}{(1+x^2)^{3/2}}y′=−(1+x2)3/21
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AI Tutor 4:01 PM
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