What is the derivative of 5sec(4x) ?

The derivative of 5sec(4x) is 20sec(4x)tan(4x)

What is the first derivative of 5sec(4x) ?

The first derivative of 5sec(4x) is 20sec(4x)tan(4x)

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\frac{d}{d x} (5 sec (4 x))

20 sec (4 x) tan (4 x)

Solution steps

\frac{d}{d x} (5 sec (4 x))

Take the constant out:

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

= 5 \frac{d}{d x} (sec (4 x))

Apply the chain rule:

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

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

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

= 5 sec (4 x) tan (4 x) \cdot 4

Simplify

= 20 sec (4 x) tan (4 x)

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What is the derivative of 5sec(4x) ?
The derivative of 5sec(4x) is 20sec(4x)tan(4x)
What is the first derivative of 5sec(4x) ?
The first derivative of 5sec(4x) is 20sec(4x)tan(4x)