1.

Find the differential coefficient of the functions x*.2018Annal​

Answer»

ong>Answer:

Let y=x

2

logxsinx

We need to find

dx

dy

.

Consider y=x

2

logxsinx

dx

dy

=

dx

d

(x

2

)logxsinx+x

2

dx

d

(logxsinx)

=2X(logxsinx)+x

2

[sinx

dx

d

(logx)+logx

dx

d

(sinx)]

=2x(logxsinx)+x

2

[

x

sinx

+logxcosx]

dx

dy

=2x(logxsinx)+xsinx+x

2

logxcosx



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