What is the derivative of y=ln(5x-2) ?

The derivative of y=ln(5x-2) is 5/(5x-2)

What is the first derivative of y=ln(5x-2) ?

The first derivative of y=ln(5x-2) is 5/(5x-2)

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derivative of

y = ln (5 x - 2)

\frac{5}{5 x - 2}

Solution steps

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

Apply the chain rule:

\frac{1}{5 x - 2} \frac{d}{d x} (5 x - 2)

= \frac{1}{5 x - 2} \frac{d}{d x} (5 x - 2)

\frac{d}{d x} (5 x - 2) = 5

= \frac{1}{5 x - 2} \cdot 5

Simplify

\frac{1}{5 x - 2} \cdot 5 : \frac{5}{5 x - 2}

= \frac{5}{5 x - 2}

x \to 1 lim (- \frac{2 x}{x - 1})

\int 6 e^{6 x} d x

\frac{\partial}{\partial x} (sin (x + y))

x \to + (- 3) + lim (8 x + 5)

f (x) = x^{l n (x)}

What is the derivative of y=ln(5x-2) ?
The derivative of y=ln(5x-2) is 5/(5x-2)
What is the first derivative of y=ln(5x-2) ?
The first derivative of y=ln(5x-2) is 5/(5x-2)