sin (log x) द्वितीय कोटि के अवकलज ज्ञात कीजिए
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d²y/dx² = -(Cos(logx)+ Sin(logx))/x² यदि y = sin (log x)
Step-by-step explanation:
द्वितीय कोटि के अवकलज ज्ञात कीजिए
y = Sin(log x)
=> (dy/dx) = Cos(logx)(1/x)
=> (dy/dx) = Cos(logx)/x
d²y/dx² = Cos(logx)(-1/x²) + (1/x)(-Sin(logx)(1/x)
=> d²y/dx² = -Cos(logx)/x² - Sin(logx)/x²
=> d²y/dx² = (-Cos(logx) - Sin(logx))/x²
=> d²y/dx² = -(Cos(logx)+ Sin(logx))/x²
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