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

The derivative of tan((pix/2)) is sec^2((pix)/2) pi/2

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

The first derivative of tan((pix/2)) is sec^2((pix)/2) pi/2

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\frac{d}{d x} (tan (\frac{π x}{2}))

sec^{2} (\frac{π x}{2}) \frac{π}{2}

Solution steps

\frac{d}{d x} (tan (\frac{π x}{2}))

Apply the chain rule:

sec^{2} (\frac{π x}{2}) \frac{d}{d x} (\frac{π x}{2})

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

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

= sec^{2} (\frac{π x}{2}) \frac{π}{2}

y = 3 + \frac{12}{2 - x}

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\int \frac{1}{2 - x ^{2}} d x

n = 4 \sum \infty \frac{8}{n ^{2} - 1}

What is the derivative of tan((pix/2)) ?
The derivative of tan((pix/2)) is sec^2((pix)/2) pi/2
What is the first derivative of tan((pix/2)) ?
The first derivative of tan((pix/2)) is sec^2((pix)/2) pi/2