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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derivative of

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^{^{''}} + 4 y = - 5 csc (2 t)

\int \frac{1}{3 - x ^{2}} d x

\frac{\partial}{\partial y} (y + 2)

\int_{0}^{2} 0.5 x d x

x \to 3 lim (2 x - 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