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Let f(x)=cot(ex)f ( x ) = \cot \left( e ^ { x } \right)

Question 87

Multiple Choice

Let f(x) =cot(ex) f ( x ) = \cot \left( e ^ { x } \right) Then f(x) f ^ { \prime } ( x ) is


A) csc2(ex) - \csc ^ { 2 } \left( e ^ { x } \right)
B) cot2(ex) - \cot ^ { 2 } \left( e ^ { x } \right)
C) excot2(ex) - e ^ { x } \cot ^ { 2 } \left( e ^ { x } \right)
D) excsc2(ex) - e ^ { x } \csc ^ { 2 } \left( e ^ { x } \right)
E) excsc2(ex) e ^ { x } \csc ^ { 2 } \left( e ^ { x } \right)

Correct Answer:

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