What is the derivative of sin((pix)/3) ?

The derivative of sin((pix)/3) is cos((pix)/3) pi/3

What is the first derivative of sin((pix)/3) ?

The first derivative of sin((pix)/3) is cos((pix)/3) pi/3

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derivative of

sin (\frac{π x}{3})

cos (\frac{π x}{3}) \frac{π}{3}

Solution steps

\frac{d}{d x} (sin (\frac{π x}{3}))

Apply the chain rule:

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

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

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

= cos (\frac{π x}{3}) \frac{π}{3}

What is the derivative of sin((pix)/3) ?
The derivative of sin((pix)/3) is cos((pix)/3) pi/3
What is the first derivative of sin((pix)/3) ?
The first derivative of sin((pix)/3) is cos((pix)/3) pi/3