What is the derivative of cos(x-1/2) ?

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

What is the first derivative of cos(x-1/2) ?

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

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\frac{d}{d x} (cos (x) - \frac{1}{2})

- sin (x)

Solution steps

\frac{d}{d x} (cos (x) - \frac{1}{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (cos (x)) - \frac{d}{d x} (\frac{1}{2})

\frac{d}{d x} (cos (x)) = - sin (x)

\frac{d}{d x} (\frac{1}{2}) = 0

= - sin (x) - 0

Simplify

= - sin (x)

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