Find the derivative of the function. y=x\tanh^{-1}x+\ln\sqrt{1-x^2}

Khaleesi Herbert

Khaleesi Herbert

Answered question

2021-10-21

Find the derivative of the function. y=xtanh1x+ln1x2

Answer & Explanation

Benedict

Benedict

Skilled2021-10-22Added 108 answers

ddx[xtanh1x+ln1x2]=ddx[xtanh1x]+ddx[ln1x2]
=((x)tanh1x+x(tanh1x))+(1x2)1x2
=tanh1x+x11x2+(1x2)21x211x2
=tanh1x+x1x2+2x21x211x2
=tanh1x+x1x2x1x2
tanh1x
Result: ddx[xtanh1x+ln1x2]=tanh1x

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