What is the derivative of cos((pix/2)) ?

The derivative of cos((pix/2)) is -sin((pix)/2) pi/2

What is the first derivative of cos((pix/2)) ?

The first derivative of cos((pix/2)) is -sin((pix)/2) pi/2

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\frac{d}{d x} (cos (\frac{π x}{2}))

- sin (\frac{π x}{2}) \frac{π}{2}

Solution steps

\frac{d}{d x} (cos (\frac{π x}{2}))

Apply the chain rule:

- sin (\frac{π x}{2}) \frac{d}{d x} (\frac{π x}{2})

= - sin (\frac{π x}{2}) \frac{d}{d x} (\frac{π x}{2})

\frac{d}{d x} (\frac{π x}{2}) = \frac{π}{2}

= - sin (\frac{π x}{2}) \frac{π}{2}

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What is the derivative of cos((pix/2)) ?
The derivative of cos((pix/2)) is -sin((pix)/2) pi/2
What is the first derivative of cos((pix/2)) ?
The first derivative of cos((pix/2)) is -sin((pix)/2) pi/2