Differentiate $y = \frac { \cosh ( 4 x ) } { \cosh ^ { 2 } ( x ) }$

question 75

Multiple Choice

Differentiate $y = \frac { \cosh ( 4 x ) } { \cosh ^ { 2 } ( x ) }$ .(Do not simplify)

• A) \(\frac { - 4 \sinh ( x ) } { \cosh ^ { 2 } x }\)
• B) \(\frac { - 4 \sinh ( 4 x ) \cdot \cosh ^ { 2 } ( x ) - 2 \sinh x \cdot \cosh ( 4 x ) } { ( \cosh x ) ^ { 4 } }\)
• C) \(\frac { 4 \sinh ( 4 x ) \cdot \cosh ^ { 2 } ( x ) - 2 \sinh x \cdot \cosh ( x ) \cdot \cosh ( 4 x ) } { ( \cosh x ) ^ { 4 } }\)
• D) \(\frac { - 4 \sinh ( 4 x ) \cdot \cosh ^ { 2 } ( x ) + 2 \sinh x \cdot \cosh ( x ) \cdot \cosh ( 4 x ) } { ( \cosh x ) ^ { 4 } }\)

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