What is the derivative of sin((pix/6)) ?

The derivative of sin((pix/6)) is cos((pix)/6) pi/6

What is the first derivative of sin((pix/6)) ?

The first derivative of sin((pix/6)) is cos((pix)/6) pi/6

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\frac{d}{d x} (sin (\frac{π x}{6}))

cos (\frac{π x}{6}) \frac{π}{6}

Solution steps

\frac{d}{d x} (sin (\frac{π x}{6}))

Apply the chain rule:

cos (\frac{π x}{6}) \frac{d}{d x} (\frac{π x}{6})

= cos (\frac{π x}{6}) \frac{d}{d x} (\frac{π x}{6})

\frac{d}{d x} (\frac{π x}{6}) = \frac{π}{6}

= cos (\frac{π x}{6}) \frac{π}{6}

What is the derivative of sin((pix/6)) ?
The derivative of sin((pix/6)) is cos((pix)/6) pi/6
What is the first derivative of sin((pix/6)) ?
The first derivative of sin((pix/6)) is cos((pix)/6) pi/6