find the differential coefficients of the following function with respect to x:
(x-1)whole cube÷xwhole square
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Answer:
We need to find the differential coefficient of the function x
2
logxsinx with respect to x.
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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