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

The derivative of tan((pix/4)) is sec^2((pix)/4) pi/4

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

The first derivative of tan((pix/4)) is sec^2((pix)/4) pi/4

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\frac{d}{d x} (tan (\frac{π x}{4}))

sec^{2} (\frac{π x}{4}) \frac{π}{4}

Solution steps

\frac{d}{d x} (tan (\frac{π x}{4}))

Apply the chain rule:

sec^{2} (\frac{π x}{4}) \frac{d}{d x} (\frac{π x}{4})

= sec^{2} (\frac{π x}{4}) \frac{d}{d x} (\frac{π x}{4})

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

= sec^{2} (\frac{π x}{4}) \frac{π}{4}

f (x) = \frac{1}{( x + 1 ) ( x - 2 )}

f (x) = (\frac{1}{8}) (x^{3} + 3 x^{2} - 9 x - 27)

y = - 2 x^{2} - 4 x - 5

y = x^{3} + 4 x^{2}

f (x) = 3 (x - 2)^{2}

What is the derivative of tan((pix/4)) ?
The derivative of tan((pix/4)) is sec^2((pix)/4) pi/4
What is the first derivative of tan((pix/4)) ?
The first derivative of tan((pix/4)) is sec^2((pix)/4) pi/4