What is the derivative of 5log_{2}(x) ?

The derivative of 5log_{2}(x) is 5/(ln(2)x)

What is the first derivative of 5log_{2}(x) ?

The first derivative of 5log_{2}(x) is 5/(ln(2)x)

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\frac{d}{d x} (5 lo g_{2} (x))

\frac{5}{ln ( 2 ) x}

Solution steps

\frac{d}{d x} (5 lo g_{2} (x))

Take the constant out:

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

= 5 \frac{d}{d x} (lo g_{2} (x))

Apply the derivative log rule:

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

= 5 \cdot \frac{1}{x ln ( 2 )}

Simplify

5 \cdot \frac{1}{x ln ( 2 )} : \frac{5}{ln ( 2 ) x}

= \frac{5}{ln ( 2 ) x}

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (0) = 0, y (\frac{π}{2}) = 1

\frac{8}{( s - 1 ) ^{3}}

y^{^{'}} = \frac{1}{1 + x}

\int x^{3} x^{2} - 16 d x

\frac{d}{d x} (5 - ∣ x ∣)

What is the derivative of 5log_{2}(x) ?
The derivative of 5log_{2}(x) is 5/(ln(2)x)
What is the first derivative of 5log_{2}(x) ?
The first derivative of 5log_{2}(x) is 5/(ln(2)x)