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

The derivative of sec^2(2x) is 4sec^2(2x)tan(2x)

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

The first derivative of sec^2(2x) is 4sec^2(2x)tan(2x)

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derivative of

sec^{2} (2 x)

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

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sec (2 x) sec (2 x) tan (2 x) \cdot 2

Simplify

2 sec (2 x) sec (2 x) tan (2 x) \cdot 2 : 4 sec^{2} (2 x) tan (2 x)

= 4 sec^{2} (2 x) tan (2 x)

y d x + (x^{2} + 4 x) d y = 0

\frac{d y}{d x} = (e^{x} + 7)^{2}

y = x^{2} cos (\frac{4}{x})

f (x) = x^{4} + 2 e^{x}, (0, 2)

(sin (x))^{2}

What is the derivative of sec^2(2x) ?
The derivative of sec^2(2x) is 4sec^2(2x)tan(2x)
What is the first derivative of sec^2(2x) ?
The first derivative of sec^2(2x) is 4sec^2(2x)tan(2x)