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

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

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

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

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derivative of

10 lo g_{10} (x)

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the derivative log rule:

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

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

Simplify

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

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

x \to 9 lim (\frac{6}{9})

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

y = 4 x^{2}, (- 1, 4)

x y^{^{'}} - 2 y = 2 x^{2} + 2 x + 1

(- 2, 0), (0, 1)

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