Formula

Calculate the differentiation

Answer

$y = mx+b$

$\dfrac {d } {d b } {\left( y \right)} = \dfrac {d } {d b } {\left( m \right)} x + m \dfrac {d } {d b } {\left( x \right)} + 1$

Calculate the differentiation of the logarithmic function

$\dfrac {d } {d \color{#FF6800}{ b } } {\left( \color{#FF6800}{ m } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ b } \right)}$

$ $ Calculate the differentiation $ $

$\dfrac {d } {d \color{#FF6800}{ b } } {\left( \color{#FF6800}{ m } \right)} \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ m } \dfrac {d } {d \color{#FF6800}{ b } } {\left( \color{#FF6800}{ x } \right)} \color{#FF6800}{ + } \color{#FF6800}{ 1 }$

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