What is secondderivative of y=sec(x) ?

The answer to secondderivative of y=sec(x) is -sec(x)+2sec^3(x)

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Find the 2nd Derivative y=sec(x)

second derivative

y = sec (x)

- sec (x) + 2 sec^{3} (x)

Solution steps

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

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

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

\frac{d}{d x} (sec (x) tan (x)) = - sec (x) + 2 sec^{3} (x)

= - sec (x) + 2 sec^{3} (x)

- \frac{d}{d x} f (x) = arcsec (x)

- \frac{d}{d x} (\frac{x}{4})

- \frac{d}{d x} (\frac{100}{x})

- \frac{d}{d x} (2 x y)

f (x) = x^{2} + 2 x, 0 < x < 6

What is secondderivative of y=sec(x) ?
The answer to secondderivative of y=sec(x) is -sec(x)+2sec^3(x)