What is (d^2)/(dx^2)(sec^2(x)) ?

The answer to (d^2)/(dx^2)(sec^2(x)) is -4sec^2(x)+6sec^4(x)

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(d^2)/(dx^2)(sec^2(x))

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

- 4 sec^{2} (x) + 6 sec^{4} (x)

Solution steps

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

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

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

\frac{d}{d x} (2 sec^{2} (x) tan (x)) = - 4 sec^{2} (x) + 6 sec^{4} (x)

= - 4 sec^{2} (x) + 6 sec^{4} (x)

What is (d^2)/(dx^2)(sec^2(x)) ?
The answer to (d^2)/(dx^2)(sec^2(x)) is -4sec^2(x)+6sec^4(x)