What is the derivative of cos(-x/3) ?

The derivative of cos(-x/3) is -sin(x/3) 1/3

What is the first derivative of cos(-x/3) ?

The first derivative of cos(-x/3) is -sin(x/3) 1/3

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\frac{d}{d x} (cos (- \frac{x}{3}))

- sin (\frac{x}{3}) \frac{1}{3}

Solution steps

\frac{d}{d x} (cos (- \frac{x}{3}))

Simplify

cos (- \frac{x}{3}) : cos (\frac{x}{3})

= \frac{d}{d x} (cos (\frac{x}{3}))

Apply the chain rule:

- sin (\frac{x}{3}) \frac{d}{d x} (\frac{x}{3})

= - sin (\frac{x}{3}) \frac{d}{d x} (\frac{x}{3})

\frac{d}{d x} (\frac{x}{3}) = \frac{1}{3}

= - sin (\frac{x}{3}) \frac{1}{3}

What is the derivative of cos(-x/3) ?
The derivative of cos(-x/3) is -sin(x/3) 1/3
What is the first derivative of cos(-x/3) ?
The first derivative of cos(-x/3) is -sin(x/3) 1/3