find dy/dx if y = x^2*cos(x^2)
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Class 11
>>Applied Mathematics
>>Differentiation
>>Rules of differentiation
>>If y = x^2 sin x , then dydx will be
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If y= x
2
sin x, then
dx
dy
will be
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Solution
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Correct option is A)
Given
y=x
2
sinx
Using
dx
d(u .v)
=v
dx
du
+u
dx
dv
Differentiating on both sides
⟹
dx
dy
=
dx
d
(x
2
sinx)
⟹
dx
dy
=sinx
dx
d
(x
2
)+x
2
dx
d
(sinx)
⟹
dx
dy
=2xsinx+x
2
cosx
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