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Formula
Calculate the differentiation
Answer
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$\dfrac{d}{dx}{ \left( \sin\left( x \right) \right) }$
$\cos\left( x \right)$
Calculate the differentiation
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ \sin\left( x \right) } \right)}$
$ $ It is $ \frac{d}{dx}{\sin(f(x))} = \cos(f(x)) \frac{d}{dx}{f(x)}$
$\color{#FF6800}{ \cos\left( x \right) } \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } \right)}$
$\cos\left( x \right) \dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ x } \right)}$
$ $ It is $ \frac{d}{dx}x = 1$
$\cos\left( x \right) \times \color{#FF6800}{ 1 }$
$\cos\left( x \right) \color{#FF6800}{ \times } \color{#FF6800}{ 1 }$
$ $ Multiplying any number by 1 does not change the value $ $
$\cos\left( x \right)$
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