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 )}

e^{- 3 x} sin (5 x)

7 x^{3} - 2 x^{2} + 3 x - 5

3 x^{2} - 5.704 x + 3.1592

\frac{sin ^{2} ( x )}{e ^{x}}

\frac{d}{d x} (x^{3} (ln (+ 1 e^{y})))

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))