What is the derivative of (ln(2x+5))/(ln(3)) ?

The derivative of (ln(2x+5))/(ln(3)) is 2/(ln(3)(2x+5))

What is the first derivative of (ln(2x+5))/(ln(3)) ?

The first derivative of (ln(2x+5))/(ln(3)) is 2/(ln(3)(2x+5))

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derivative of

\frac{ln ( 2 x + 5 )}{ln ( 3 )}

\frac{2}{ln ( 3 ) ( 2 x + 5 )}

Solution steps

\frac{d}{d x} (\frac{ln ( 2 x + 5 )}{ln ( 3 )})

Take the constant out:

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

= \frac{1}{ln ( 3 )} \frac{d}{d x} (ln (2 x + 5))

Apply the chain rule:

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

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

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

= \frac{1}{ln ( 3 )} \cdot \frac{1}{2 x + 5} \cdot 2

Simplify

\frac{1}{ln ( 3 )} \cdot \frac{1}{2 x + 5} \cdot 2 : \frac{2}{ln ( 3 ) ( 2 x + 5 )}

= \frac{2}{ln ( 3 ) ( 2 x + 5 )}

\int e^{z} cos (x) d x

f (x) = - 1 - 4 x^{2}, (3, - 37)

2 y^{^{''}} + 72 y = 0

\frac{d}{d y} (ln (cos (y)))

\int \frac{1}{1 + e ^{- 2 x}} d x

What is the derivative of (ln(2x+5))/(ln(3)) ?
The derivative of (ln(2x+5))/(ln(3)) is 2/(ln(3)(2x+5))
What is the first derivative of (ln(2x+5))/(ln(3)) ?
The first derivative of (ln(2x+5))/(ln(3)) is 2/(ln(3)(2x+5))