What is the derivative of 5sec(8x) ?

The derivative of 5sec(8x) is 40sec(8x)tan(8x)

What is the first derivative of 5sec(8x) ?

The first derivative of 5sec(8x) is 40sec(8x)tan(8x)

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derivative of

5 sec (8 x)

40 sec (8 x) tan (8 x)

Solution steps

\frac{d}{d x} (5 sec (8 x))

Take the constant out:

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

= 5 \frac{d}{d x} (sec (8 x))

Apply the chain rule:

sec (8 x) tan (8 x) \frac{d}{d x} (8 x)

= sec (8 x) tan (8 x) \frac{d}{d x} (8 x)

\frac{d}{d x} (8 x) = 8

= 5 sec (8 x) tan (8 x) \cdot 8

Simplify

= 40 sec (8 x) tan (8 x)

What is the derivative of 5sec(8x) ?
The derivative of 5sec(8x) is 40sec(8x)tan(8x)
What is the first derivative of 5sec(8x) ?
The first derivative of 5sec(8x) is 40sec(8x)tan(8x)