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Differentiate the following w.r.t ,or 2^ …

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Differentiate the following w.r.t ,or 2^ sinx
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Sayani Manna 4 years, 4 months ago

Let, y=2^(sinx) Step 1: Taking logarithm to both sides, log y = log {2^(sinx)} Or, log y =(sinx).(log 2) Step 2: Differentiating both sides w.r.t. x, (1/y)(dy/dx)= (sinx).(d/dx)(log 2) + (log 2 ).(d/dx)(sin x ) Or, dy/dx ={ 0 + (log 2). (cos x)}y Or, dy/dx = 2^(sin x ).(cos x).(log 2)
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