What is the derivative of sec^2(pit) ?

The derivative of sec^2(pit) is 2pisec^2(pit)tan(pit)

What is the first derivative of sec^2(pit) ?

The first derivative of sec^2(pit) is 2pisec^2(pit)tan(pit)

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derivative of

sec^{2} (π t)

2 π sec^{2} (π t) tan (π t)

Solution steps

\frac{d}{d t} (sec^{2} (π t))

Apply the chain rule:

2 sec (π t) \frac{d}{d t} (sec (π t))

= 2 sec (π t) \frac{d}{d t} (sec (π t))

\frac{d}{d t} (sec (π t)) = sec (π t) tan (π t) π

= 2 sec (π t) sec (π t) tan (π t) π

Simplify

2 sec (π t) sec (π t) tan (π t) π : 2 π sec^{2} (π t) tan (π t)

= 2 π sec^{2} (π t) tan (π t)

(1, - 6), (4, - 6)

\int (x^{4} + \frac{16}{4 x})^{2} d x

- x^{2} + 2 x + a

x \to c lim (15)

x \to 0 lim (\frac{sin ( x )}{1})

What is the derivative of sec^2(pit) ?
The derivative of sec^2(pit) is 2pisec^2(pit)tan(pit)
What is the first derivative of sec^2(pit) ?
The first derivative of sec^2(pit) is 2pisec^2(pit)tan(pit)