Tofind:Differentialofy=x3−2x2+5.Pre−requisite:1)dxd(c)=0,wherecisconstant.
2)dxd(cf(x))=cdxd(f(x))
3)dxd(xn)=nxn−1,wheren∈Z.
∴dxd(y)=dxd(x3−2x2+5)
=dxd(x3)−dxd(2x2)+dxd(5)
=3(x3−1)−2(2)(x2−1)+0
=3x2−4x
∴dxdy=3x2−4x
∴Thedifferentialhasthefollowingform:dy=(3x2−4x)dx
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