What is the derivative of (sin(1))/x ?

The derivative of (sin(1))/x is -(sin(1))/(x^2)

What is the first derivative of (sin(1))/x ?

The first derivative of (sin(1))/x is -(sin(1))/(x^2)

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derivative

- \frac{sin ( 1 )}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{sin ( 1 )}{x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= sin (1) \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= sin (1) \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= sin (1) (- 1 \cdot x^{- 1 - 1})

Simplify

sin (1) (- 1 \cdot x^{- 1 - 1}) : - \frac{sin ( 1 )}{x ^{2}}

= - \frac{sin ( 1 )}{x ^{2}}

What is the derivative of (sin(1))/x ?
The derivative of (sin(1))/x is -(sin(1))/(x^2)
What is the first derivative of (sin(1))/x ?
The first derivative of (sin(1))/x is -(sin(1))/(x^2)