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प्रश्न
Differentiate the following w.r.t. x:
log (cos ex)
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उत्तर
Let, y = log (cos ex)
Differentiating both sides with respect to x,
`dy/dx= d/dx log (cos e^x)`
= `1/(cos e^x) d/dx (cos e^x)`
= `1/(cos e^x) (- sin e^x) d/dx e^x`
= `-(sin e^x)/(cos e^x) * e^x`
= −ex tan ex
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