What is the derivative of f(x)=7ln(x) ?

The derivative of f(x)=7ln(x) is 7/x

What is the first derivative of f(x)=7ln(x) ?

The first derivative of f(x)=7ln(x) is 7/x

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derivative of

f (x) = 7 ln (x)

\frac{7}{x}

Solution steps

\frac{d}{d x} (7 ln (x))

Take the constant out:

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

= 7 \frac{d}{d x} (ln (x))

Apply the common derivative:

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

= 7 \cdot \frac{1}{x}

Simplify

7 \cdot \frac{1}{x} : \frac{7}{x}

= \frac{7}{x}

What is the derivative of f(x)=7ln(x) ?
The derivative of f(x)=7ln(x) is 7/x
What is the first derivative of f(x)=7ln(x) ?
The first derivative of f(x)=7ln(x) is 7/x