Question

Take 10 figure logarithm to base 10 from x = 300 to x = 310 by unit increments. Calculate

the first derivative of log10 x when x = 310.

Answer 1

Lets take a 10 figure logarithm to base 10 from x = 300 to x = 310

I show you following table

 (log₁₀x)$'$ = $\frac{1}{xln10}$

f$'$(x) = f$'$(310) = $\frac{1}{310ln10}$ $\thickapprox$ 0.0014