What is the derivative of 2x-log_{10}(x)-7 ?

The derivative of 2x-log_{10}(x)-7 is -1/(ln(10)x)+2

What is the first derivative of 2x-log_{10}(x)-7 ?

The first derivative of 2x-log_{10}(x)-7 is -1/(ln(10)x)+2

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derivative of

2 x - lo g_{10} (x) - 7

- \frac{1}{ln ( 10 ) x} + 2

Solution steps

\frac{d}{d x} (2 x - lo g_{10} (x) - 7)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (lo g_{10} (x)) - \frac{d}{d x} (7)

\frac{d}{d x} (2 x) = 2

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

\frac{d}{d x} (7) = 0

= 2 - \frac{1}{x ln ( 10 )} - 0

Simplify

= - \frac{1}{ln ( 10 ) x} + 2

What is the derivative of 2x-log_{10}(x)-7 ?
The derivative of 2x-log_{10}(x)-7 is -1/(ln(10)x)+2
What is the first derivative of 2x-log_{10}(x)-7 ?
The first derivative of 2x-log_{10}(x)-7 is -1/(ln(10)x)+2