differentiate. y = log 10x d/dx log 10x = □

Explanation:

Step1: Recall the formula for derivative of $\log_a x$

The derivative of $\log_a x$ with respect to $x$ is $\frac{1}{x\ln a}$. Here $a = 10$.

Step2: Substitute $a = 10$ into the formula

For $y=\log_{10}x$, $\frac{d}{dx}\log_{10}x=\frac{1}{x\ln 10}$.

Answer:

$\frac{1}{x\ln 10}$