What is the derivative of ln(5x+7) ?

The derivative of ln(5x+7) is 5/(5x+7)

What is the first derivative of ln(5x+7) ?

The first derivative of ln(5x+7) is 5/(5x+7)

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\frac{d}{d x} (ln (5 x + 7))

\frac{5}{5 x + 7}

Solution steps

\frac{d}{d x} (ln (5 x + 7))

Apply the chain rule:

\frac{1}{5 x + 7} \frac{d}{d x} (5 x + 7)

= \frac{1}{5 x + 7} \frac{d}{d x} (5 x + 7)

\frac{d}{d x} (5 x + 7) = 5

= \frac{1}{5 x + 7} \cdot 5

Simplify

\frac{1}{5 x + 7} \cdot 5 : \frac{5}{5 x + 7}

= \frac{5}{5 x + 7}

\int tan (4 x se) c^{2} 4 x d x

d er i v a t i v e f (x) = x 2 x^{2} + 7

d er i v a t i v e \frac{ln ( x ) - 1}{ln ^{2} ( x )}

\int sin^{2} (5 θ) d θ

\int \frac{x ^{2} - 5 x + 3}{x - 7} d x

What is the derivative of ln(5x+7) ?
The derivative of ln(5x+7) is 5/(5x+7)
What is the first derivative of ln(5x+7) ?
The first derivative of ln(5x+7) is 5/(5x+7)