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

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

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

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

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\frac{d}{d x} (sec (\frac{π x}{4}))

sec (\frac{π x}{4}) tan (\frac{π x}{4}) \frac{π}{4}

Solution steps

\frac{d}{d x} (sec (\frac{π x}{4}))

Apply the chain rule:

sec (\frac{π x}{4}) tan (\frac{π x}{4}) \frac{d}{d x} (\frac{π x}{4})

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

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

= sec (\frac{π x}{4}) tan (\frac{π x}{4}) \frac{π}{4}

y = - x^{3} + 6 x^{2} - 9 x

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

f (x) = \frac{4}{5} x - 2

f (x) = - x^{2} - 7 x + 6

f (x) = x^{3} + 3 x^{2} - 3 x + 1

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