If y = log10x then dy/dx = ?A. 1/xB. 1/x (log 10)C. 1/x(log 10)D. none – InterviewSolution

1.

If y = log10x then dy/dx = ?A. 1/xB. 1/x (log 10)C. 1/x(log 10)D. none of these

Answer»

Answer is: C. 1/x(log 10)

Given that y = log₁₀ x

Using the property that log_a b = log_eb/log_ea, we get

y = log_ex/log_e10

Differentiating with respect to x, we get

dy/dx = 1/xlog_e10

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