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

The derivative of (sec(x))^2 is 2sec^2(x)tan(x)

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

The first derivative of (sec(x))^2 is 2sec^2(x)tan(x)

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derivative of

(sec (x))^{2}

2 sec^{2} (x) tan (x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sec (x) sec (x) tan (x)

Simplify

2 sec (x) sec (x) tan (x) : 2 sec^{2} (x) tan (x)

= 2 sec^{2} (x) tan (x)

\int 3 sin (\frac{x}{2}) - 2 cos (\frac{2 x}{5}) d x

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

\frac{d}{d x} ((1 + 3 x)^{5})

\int \frac{1}{X ^{2}} d X

\int \frac{5 x ^{2} - 12}{( x ^{2} - 6 x + 13 ) ^{2}} d x

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