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}

t^{2} sin (3 t)

\int_{- 3}^{3} 12 - x^{2} - (x^{2} - 6) d x

x \to 2 lim (9 + (- 12))

\frac{d}{d x} (\frac{1}{1 + 4 x ^{2}})

x \to 0 lim (\frac{x ^{2}}{sin ^{2} ( 7 x )})

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