y=cosx,yn=dn(cosx)dxn then ∣∣
∣∣y4y5y6y7y8y9y10y11y12∣∣
∣∣ =
A
0
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B
−cosx
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C
cosx
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D
sinx
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Solution
The correct option is D0 ∣∣
∣∣y4y5y6y7y8y9y10y11y12∣∣
∣∣=∣∣
∣∣sinxcosx−sinx−cosxsinxcosx−sinx−cosxsinx∣∣
∣∣=sinx(sin2x+cos2x)−cosx(−sinxcosx+sinxcosx)−sinx(cos2x+sin2x)=0