Question 5: Differentiate the following w.r.t. x: log (cos e^x)
Class 12 - Math - Continuity and Differentiability
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★ DIFFERENTIATION ★
Given function :
log ( Cos e^x )
dy ( log e^x )/dx =
1/ Cos e^x [ dy/dx of Cos e^x ]
dy ( Cos e^x )/dx = - Sin e^x ( e^x )
Now combining the respective equivalents ,
dy/dx = -e^x Sin e^x / Cos e^x
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Given function :
log ( Cos e^x )
dy ( log e^x )/dx =
1/ Cos e^x [ dy/dx of Cos e^x ]
dy ( Cos e^x )/dx = - Sin e^x ( e^x )
Now combining the respective equivalents ,
dy/dx = -e^x Sin e^x / Cos e^x
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