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Question


y=sinx, yn=dn(sinx)dxn
then ∣ ∣yy1y2y3y4y5y6y7y8∣ ∣ =?


A
-sin x
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B
0
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C
sin x
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D
cos x
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Solution

The correct option is B 0
Given y=sinx and Yn=δn(sinx)dxn
Let A=∣ ∣yy1y2y3y4y5y6y7y8∣ ∣
=∣ ∣sinxcosxsinxcosxsinxcosxsinxcosxsinx∣ ∣
=sinx(sin2x+cos2x)cosx[0]sinx[cos2x+sin2x]
=0

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