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Let f(x)=tan(5x)f ( x ) = \tan \left( 5 ^ { x } \right)

Question 41

Multiple Choice

Let f(x) =tan(5x) f ( x ) = \tan \left( 5 ^ { x } \right) Then f(x) f ^ { \prime } ( x ) is


A) tan(5xln5) \tan \left( 5 ^ { x } \ln 5 \right)
B) sec2(5x) \sec ^ { 2 } \left( 5 ^ { x } \right)
C) sec2(5xln5) \sec ^ { 2 } \left( 5 ^ { x } \ln 5 \right)
D) sec2(5x) ln5\sec ^ { 2 } \left( 5 ^ { x } \right) \ln 5
E) 5xsec2(5x) ln55 ^ { x } \sec ^ { 2 } \left( 5 ^ { x } \right) \ln 5

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