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

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

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

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

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derivative of

sec^{2} (x)

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

Solution steps

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

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)

2 y^{^{''}} + 17 y^{^{'}} - 9 y = 0

\frac{d}{d y} (x y + y z + x z)

y^{^{'}} = 3 e^{x - y}

f (x) = tan (4 x)

\frac{d y}{d t} = 3 + 5 y

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