What is the derivative of 10log_{10}(100x) ?

The derivative of 10log_{10}(100x) is (10)/(ln(10)x)

What is the first derivative of 10log_{10}(100x) ?

The first derivative of 10log_{10}(100x) is (10)/(ln(10)x)

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\frac{d}{d x} (10 lo g_{10} (100 x))

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

Solution steps

\frac{d}{d x} (10 lo g_{10} (100 x))

Simplify

10 lo g_{10} (100 x) : 10 (lo g_{10} (x) + 2)

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

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

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

Simplify

10 (\frac{1}{x ln ( 10 )} + 0) : \frac{10}{ln ( 10 ) x}

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

\frac{d}{d x} (cos (2 x^{2} - 3))

f (x) = \frac{x ^{2}}{2 + x}

x^{2} - 2 x, x + 4

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

sin (2 x) d x + cos (3 y) d y = 0

What is the derivative of 10log_{10}(100x) ?
The derivative of 10log_{10}(100x) is (10)/(ln(10)x)
What is the first derivative of 10log_{10}(100x) ?
The first derivative of 10log_{10}(100x) is (10)/(ln(10)x)