Find the derivatives of this inverse y=(1+\tan^{-1}x)^{2}

burkinaval1b

burkinaval1b

Answered question

2021-12-11

Find the derivatives of this inverse
y=(1+tan1x)2

Answer & Explanation

sukljama2

sukljama2

Beginner2021-12-12Added 32 answers

Step 1
Given that the given function is
y=(1+tan1x)2
Step 2
Obtain the derivative of the given function is,
dydx=ddx(1+tan1x)2
=2(1+tan1x)ddx(1+tan1x)
=2(1+tan1x)(0+11+x2)
=21+x2(1+tan1x)
Step 3
Therefore, the derivative of the given function is
21+x2(1+tan1x)

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