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Solve the equation
Answer
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Calculate the differentiation
Answer
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Graph
$y = - 4 x$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$y = -4x$
$x = - \dfrac { 1 } { 4 } y$
$ $ Solve a solution to $ x$
$y = \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x }$
$ $ Move $ x $ term to the left side and change the sign $ $
$y \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = 0$
$\color{#FF6800}{ y } + 4 x = 0$
$ $ Move the rest of the expression except $ x $ term to the right side and replace the sign $ $
$4 x = 0 \color{#FF6800}{ - } \color{#FF6800}{ y }$
$4 x = \color{#FF6800}{ 0 } \color{#FF6800}{ - } \color{#FF6800}{ y }$
$ $ Organize the expression $ $
$4 x = \color{#FF6800}{ - } \color{#FF6800}{ y }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ y }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ \div } \color{#FF6800}{ 4 }$
$x = - y \color{#FF6800}{ \div } \color{#FF6800}{ 4 }$
$ $ Convert division to multiplication $ $
$x = - y \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 4 } }$
$x = \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 1 } { 4 } }$
$ $ Simplify the expression $ $
$x = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } } \color{#FF6800}{ y }$
$\dfrac {d } {d x } {\left( y \right)} = - 4$
Calculate the differentiation of the logarithmic function
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \right)}$
$ $ Calculate the differentiation $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 }$
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