If y = x¹⁰ - x⁵ + sin x .find dy/dx
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Answer:
y=x2sinx
Using
dxd(u .v)=vdxdu+udxdv
Differentiating on both sides
⟹dxdy=dxd(x2sinx)
⟹dxdy=sinxdxd(x2)+x2dxd(sinx)
⟹dxdy=2xsinx+x2cosx
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