y = x power 3 - 4 x power 2 + 5 , find dy/dx,d
power 2 y/dx power 2 and d power 2 y / dx power 3
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Answer:6
Explanation:
dydx=ddx(x3−4x2+5)
=d(x3)dx−ddx(4x2)+ddx(5)
=3x2−4×2x+0
=3x2−8x
and d2ydx2=ddx(3x2−8x)
=ddx(3x2)−ddx(8x)
=3×2x−8
=6x−8
Also d3ydx3=ddx(6x−8)
=ddx(6x)−ddx(8)
=6
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