What is the derivative of sin((pix/8)) ?

The derivative of sin((pix/8)) is cos((pix)/8) pi/8

What is the first derivative of sin((pix/8)) ?

The first derivative of sin((pix/8)) is cos((pix)/8) pi/8

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\frac{d}{d x} (sin (\frac{π x}{8}))

cos (\frac{π x}{8}) \frac{π}{8}

Solution steps

\frac{d}{d x} (sin (\frac{π x}{8}))

Apply the chain rule:

cos (\frac{π x}{8}) \frac{d}{d x} (\frac{π x}{8})

= cos (\frac{π x}{8}) \frac{d}{d x} (\frac{π x}{8})

\frac{d}{d x} (\frac{π x}{8}) = \frac{π}{8}

= cos (\frac{π x}{8}) \frac{π}{8}

What is the derivative of sin((pix/8)) ?
The derivative of sin((pix/8)) is cos((pix)/8) pi/8
What is the first derivative of sin((pix/8)) ?
The first derivative of sin((pix/8)) is cos((pix)/8) pi/8