What is the derivative of log_{10}(x)x+1 ?

The derivative of log_{10}(x)x+1 is log_{10}(x)+1/(ln(10))

What is the first derivative of log_{10}(x)x+1 ?

The first derivative of log_{10}(x)x+1 is log_{10}(x)+1/(ln(10))

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derivative of

lo g_{10} (x) x + 1

lo g_{10} (x) + \frac{1}{ln ( 10 )}

Solution steps

\frac{d}{d x} (lo g_{10} (x) x + 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (lo g_{10} (x) x) + \frac{d}{d x} (1)

\frac{d}{d x} (lo g_{10} (x) x) = \frac{1}{ln ( 10 )} + lo g_{10} (x)

\frac{d}{d x} (1) = 0

= \frac{1}{ln ( 10 )} + lo g_{10} (x) + 0

Simplify

= lo g_{10} (x) + \frac{1}{ln ( 10 )}

What is the derivative of log_{10}(x)x+1 ?
The derivative of log_{10}(x)x+1 is log_{10}(x)+1/(ln(10))
What is the first derivative of log_{10}(x)x+1 ?
The first derivative of log_{10}(x)x+1 is log_{10}(x)+1/(ln(10))