What is the derivative of y=4sec(2x) ?

The derivative of y=4sec(2x) is 8sec(2x)tan(2x)

What is the first derivative of y=4sec(2x) ?

The first derivative of y=4sec(2x) is 8sec(2x)tan(2x)

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derivative

8 sec (2 x) tan (2 x)

Solution steps

\frac{d}{d x} (4 sec (2 x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (sec (2 x))

Apply the chain rule:

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

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

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

= 4 sec (2 x) tan (2 x) \cdot 2

Simplify

= 8 sec (2 x) tan (2 x)

What is the derivative of y=4sec(2x) ?
The derivative of y=4sec(2x) is 8sec(2x)tan(2x)
What is the first derivative of y=4sec(2x) ?
The first derivative of y=4sec(2x) is 8sec(2x)tan(2x)