Page 20 - mathematics

Higher-order derivatives Example

dy  y  y 1 Find the first five derivatives of:
dx
f  x   7x 3  5x 2  x  3
d  dy   d2y  y  y2
dx  dx  dx2 Solution

d  d2y   d3y  y  y3 f x   21x 2  10x 1
dx  dx 2  dx3
f x   42x 10

f  x   42
d  d n1 y   dny  yn f 4 x   0
dx  dxn1  dxn f 5 x   0

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