Q.
The derivative of ax2+cotx(p+qcosx) is
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a
ax2+cotx(−qsinx)+(p+qcosx)2ax−cosec2x
b
ax2cotx(qsinx)+(p+qcosx)2ax−cosec2x
c
ax2cotx(−qsinx)+(p−qcosx)2ax+cosec2x
d
None of the above
answer is A.
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Detailed Solution
Let, y=ax2+cotx(p+qcosx)dydx=ax2+cotxddx(p+qcosx)+(p+qcosx)ddxax2+cotx =ax2+cotx(0−qsinx)+(p+qcosx)2ax−cosec2x=ax2+cotx(−qsinx)+(p+qcosx)2ax−cosec2x
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