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Formula
Calculate the differentiation
Answer
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Graph
$y = \left ( \dfrac { 1 } { 2 } \right ) ^ { x }$
$y$-intercept
$\left ( 0 , 1 \right )$
Asymptote
$y = 0$
$y = \left( \dfrac{ 1 }{ 2 } \right) ^{ x }$
$\dfrac {d } {d x } {\left( y \right)} = - \dfrac { 1 } { 2 ^ { x } } \ln { \left( 2 \right) }$
Calculate the differentiation of the logarithmic function
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \left ( \color{#FF6800}{ \dfrac { 1 } { 2 } } \right ) ^ { \color{#FF6800}{ x } } \right)}$
$ $ Calculate the differentiation $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 ^ { x } } } \ln { \left( \color{#FF6800}{ 2 } \right) }$
$ $ 그래프 보기 $ $
Exponential function
Solution search results
search-thumbnail-$s|ef\left(-1n$ $\left($ }\right)^{50}\ $\right)$ \ | | is\ equal\ to\ $S$ 
$s1S$ 
$S-1S$ 
$s2S$ 
$s50s$
7th-9th grade
Other
search-thumbnail-$8 \times $ 
$ = $ In $ \dfrac { E } { 8 } $ $ \left. \begin{array} { l } { \dfrac { 1 } { 3 } } \\ { \dfrac { 11 } { 3 } } \end{array} \right. $ $ \left. \begin{array} { l } { \dfrac { 1 } { 1 } } \\ { \dfrac { 1 } { 1 } } \end{array} \right. $ and $ \left. \begin{array} { l } { δ } \\ { 8 } \end{array} \right. $ 
Find the length of PR. $ \bar { I } $ 
$0$ 
$ \bar { u } $ 
$2$ $ = $ $ \| = $
7th-9th grade
Other
search-thumbnail-Determine Value $f _{ 1 } t$ $ - \quad $ such that 
$ | A | = \left. \begin{array} { cc } { t - 2 } & { 4 } & { 4 } \\ { 1 } & { 0 + 1 } & { - 2 } \\ { 0 } & { 0 } & { - 4 } \end{array} \right| = 0$
1st-6th grade
Algebra
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