Question
Find the derivatives of
Answer :
Word Count : 178
To find the derivative of \( \ln(1 + x^2) \) with respect to \( \tan^{-1}(x) \), we can use the chain rule. ### Step 1: Define the functions Let \( y = \ln(1 + x^2) ___ _________ _________ _________ _________ _____ _______ _______.
_____ ___ __________ ________ __________ _______ _____ ______ _______.
___ ____ __________ _______ _________ _________ _________ _____ ________ ___ ______ ______.
________ _________ _____ _____ ________ _________ _____.
__________ _____ ____ _____ ___ ____ ___ __________.
___ _________ ______ ________ _______ _____ ________ ____.
____ ______ _____ ____ _________ ________ _____ ____ ____.
_____ _________ ______ ________ ______ __________ ____ _________.
_________ ______ ________ ______ ______ ____ ______ ______ ______ ______ _________.
_________ ____ _________ _____ __________ ___ ___ ____ ______ _______ _____ _____.
____ ______ ____ ______ _________ __________ _____ ____ _________ ______.
__________ ________ _____ ___ ____ ___ ________ ____ _______ _____.
__________ ______ __________ __________ _________ ___ ___.
__________ ________ _____ __________ _____ ______ ____ ____ __________ ________ ________ ___.
____ ______ _________ ___ __________ ________ ______ _________ ____ ________ _________ _____.
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To find the derivative of \( \ln(1 + x^2) \) with respect to \( \tan^{-1}(x) \), we can use the chain rule. ### Step 1: Define the functions Let \( y = \ln(1 + x^2) ___ _________ _________ _________ _________ _____ _______ _______.
_____ ___ __________ ________ __________ _______ _____ ______ _______.
___ ____ __________ _______ _________ _________ _________ _____ ________ ___ ______ ______.
________ _________ _____ _____ ________ _________ _____.
__________ _____ ____ _____ ___ ____ ___ __________.
___ _________ ______ ________ _______ _____ ________ ____.
____ ______ _____ ____ _________ ________ _____ ____ ____.
_____ _________ ______ ________ ______ __________ ____ _________.
_________ ______ ________ ______ ______ ____ ______ ______ ______ ______ _________.
_________ ____ _________ _____ __________ ___ ___ ____ ______ _______ _____ _____.
____ ______ ____ ______ _________ __________ _____ ____ _________ ______.
__________ ________ _____ ___ ____ ___ ________ ____ _______ _____.
__________ ______ __________ __________ _________ ___ ___.
__________ ________ _____ __________ _____ ______ ____ ____ __________ ________ ________ ___.
____ ______ _________ ___ __________ ________ ______ _________ ____ ________ _________ _____.
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