247/MR00. problem / Math - Solved Math Problems

MR-247 / 247. problem

Determine the first derivative of the function:

$y = \ln (3 x + 4)$

Source: MathReference: Generic Math Textbook - 247.)

Mathematical analysis → Derivation → Derivatives of composite functions

$y = \ln (3 x + 4)$

y = \ln (3 x + 4)

g = 3 x + 4 \Rightarrow y = \ln g

g = 3 x + 4 \Rightarrow g' = 3

y' = \frac{1}{g} g' = \frac{1}{3 x + 4} \cdot 3

$y' = \frac{3}{3 x + 4}$