What is the derivative of f(x)=log_{3/2}(x)+2 ?

The derivative of f(x)=log_{3/2}(x)+2 is 1/(ln(3/2)x)

What is the first derivative of f(x)=log_{3/2}(x)+2 ?

The first derivative of f(x)=log_{3/2}(x)+2 is 1/(ln(3/2)x)

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derivative of

f (x) = lo g_{\frac{3}{2}} (x) + 2

\frac{1}{ln ( \frac{3}{2} ) x}

Solution steps

\frac{d}{d x} (lo g_{\frac{3}{2}} (x) + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (lo g_{\frac{3}{2}} (x)) + \frac{d}{d x} (2)

\frac{d}{d x} (lo g_{\frac{3}{2}} (x)) = \frac{1}{x ln ( \frac{3}{2} )}

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

= \frac{1}{x ln ( \frac{3}{2} )} + 0

Simplify

= \frac{1}{ln ( \frac{3}{2} ) x}

What is the derivative of f(x)=log_{3/2}(x)+2 ?
The derivative of f(x)=log_{3/2}(x)+2 is 1/(ln(3/2)x)
What is the first derivative of f(x)=log_{3/2}(x)+2 ?
The first derivative of f(x)=log_{3/2}(x)+2 is 1/(ln(3/2)x)