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CBSE Class 11-commerce Answered

When to use chain rule?
Asked by shiphalijain | 14 Mar, 2018, 11:22: AM
answered-by-expert Expert Answer
begin mathsize 16px style To space find space derivative space of space functions space like
sin open square brackets straight f left parenthesis straight x right parenthesis close square brackets comma space cos open square brackets straight f left parenthesis straight x right parenthesis close square brackets comma... etc
where space straight f left parenthesis straight x right parenthesis space is space other space than space straight x.
For space example comma
straight y equals sin open parentheses straight x squared close parentheses
Let space straight x squared equals straight u
rightwards double arrow straight y equals sinu
rightwards double arrow dy over du equals cosu..... left parenthesis straight i right parenthesis
straight u equals space straight x squared
du over dx equals 2 straight x...... left parenthesis ii right parenthesis
To space find space dy over dx space we space use space chain space rule comma
dy over dx equals dy over du cross times du over dx
dy over dx equals dy over du cross times du over dx
dy over dx equals cosu cross times 2 straight x
dy over dx equals 2 xcosx squared end style
Answered by Sneha shidid | 14 Mar, 2018, 11:39: AM

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