What is the derivative of 7ln(2x) ?

The derivative of 7ln(2x) is 7/x

What is the first derivative of 7ln(2x) ?

The first derivative of 7ln(2x) is 7/x

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\frac{d}{d x} (7 ln (2 x))

\frac{7}{x}

Solution steps

\frac{d}{d x} (7 ln (2 x))

Take the constant out:

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

= 7 \frac{d}{d x} (ln (2 x))

Apply the chain rule:

\frac{1}{2 x} \frac{d}{d x} (2 x)

= \frac{1}{2 x} \frac{d}{d x} (2 x)

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

= 7 \cdot \frac{1}{2 x} \cdot 2

Simplify

7 \cdot \frac{1}{2 x} \cdot 2 : \frac{7}{x}

= \frac{7}{x}

\int sin (4 x + π) d x

d er i v a t i v e \frac{1}{7 x}

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

t a y l or (1 + x)^{- \frac{3}{5}}

\frac{d}{d x} (17 e^{x^{2}})

What is the derivative of 7ln(2x) ?
The derivative of 7ln(2x) is 7/x
What is the first derivative of 7ln(2x) ?
The first derivative of 7ln(2x) is 7/x