What is the derivative of sin((pix/4)) ?

The derivative of sin((pix/4)) is cos((pix)/4) pi/4

What is the first derivative of sin((pix/4)) ?

The first derivative of sin((pix/4)) is cos((pix)/4) pi/4

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\frac{d}{d x} (sin (\frac{π x}{4}))

cos (\frac{π x}{4}) \frac{π}{4}

Solution steps

\frac{d}{d x} (sin (\frac{π x}{4}))

Apply the chain rule:

cos (\frac{π x}{4}) \frac{d}{d x} (\frac{π x}{4})

= cos (\frac{π x}{4}) \frac{d}{d x} (\frac{π x}{4})

\frac{d}{d x} (\frac{π x}{4}) = \frac{π}{4}

= cos (\frac{π x}{4}) \frac{π}{4}

What is the derivative of sin((pix/4)) ?
The derivative of sin((pix/4)) is cos((pix)/4) pi/4
What is the first derivative of sin((pix/4)) ?
The first derivative of sin((pix/4)) is cos((pix)/4) pi/4