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

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

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

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

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\frac{d}{d x} (sin (\frac{π x}{2}))

cos (\frac{π x}{2}) \frac{π}{2}

Solution steps

\frac{d}{d x} (sin (\frac{π x}{2}))

Apply the chain rule:

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

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

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

= cos (\frac{π x}{2}) \frac{π}{2}

\int \frac{3 x ^{2} + 6 x + 2}{x ( x + 1 ) ^{2}} d x

\frac{d}{d x} (x^{3} + x^{\frac{1}{2}} + 2)

\frac{\partial}{\partial y} (\frac{2 x}{x ^{2} + y ^{4}})

f (x - π)

f (x) = tan (x) - 1

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