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प्रश्न
If y = ( sin x )x , Find `dy/dx`
उत्तर
y = (sin x)x
∴ log y = log (sin x)x
∴ log y = x log sin x
∴ `1/y dy/dx = x 1/sin x cos x + log sin x.1`
∴ `dy/dx = y [ x cot x + log sin x ]`
∴ `dy/dx = (sin x )^x [ x cot x + log sin x ]`
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