1.

`x^(10)` का चतुर्थ अवकलज ज्ञात कीजिए|

Answer» माना ` " "y=x ^(10)`
` therefore " "(dy)/(dx) =(d)/(dx) (x^(10)) =10x^(9)`
` (d)/(dx) ((dy)/(dx))=(d^(2)y)/(dx^(2))=10 (d)/(dx)x^(9) =90x^(8)`
` (d)/(dx) ((d^(2)y)/(dx^(2)))= (d^(3)y)/(dx^(3))=90(d)/(dx) x^(8) =720x^(7)`
तथा ` " "(d)/(dx) ((d^(3)y)/(dx^(3)))= (d^(4)y)/(dx^(4))=720(d)/(dx) x^(7) =5040x ^(6)`

` therefore " "(d^(4)y)/(dx^(4))=5040x ^(6)`


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