What is the derivative of ln(7x) ?

The derivative of ln(7x) is 1/x

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

The first derivative of ln(7x) is 1/x

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derivative of

ln (7 x)

\frac{1}{x}

Solution steps

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

Apply the chain rule:

\frac{1}{7 x} \frac{d}{d x} (7 x)

= \frac{1}{7 x} \frac{d}{d x} (7 x)

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

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

Simplify

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

= \frac{1}{x}

f (x) = lo g_{5} (2 x^{2} + 7), at x = 3

\frac{d}{d x} (sin (x) + 2 sin^{2} (x))

1 0^{x}, 1

\frac{d}{d x} (- 8 (64 e^{- 4 x^{2}} x^{3} - 24 e^{- 4 x^{2}} x))

y = 11 x^{2} e^{x}