What is the (log_{10}(x))^' ?

The (log_{10}(x))^' is 1/(xln(10))

What is the first (log_{10}(x))^' ?

The first (log_{10}(x))^' is 1/(xln(10))

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(lo g_{10} (x))^{^{'}}

\frac{1}{x ln ( 10 )}

Solution steps

(lo g_{10} (x))^{'}

Apply the derivative log rule:

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

= \frac{1}{x ln ( 10 )}

63 e^{6 t}

\frac{\partial}{\partial x} (x^{4} - x^{2} y^{3})

6 - 5 x^{3}

6 x^{2} y^{2} d x + 4 x^{3} y d y = 0

y = 5 x, x = 5, y = \frac{5}{x}, x = 0