What is the derivative of 3sec(6x) ?

The derivative of 3sec(6x) is 18sec(6x)tan(6x)

What is the first derivative of 3sec(6x) ?

The first derivative of 3sec(6x) is 18sec(6x)tan(6x)

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\frac{d}{d x} (3 sec (6 x))

18 sec (6 x) tan (6 x)

Solution steps

\frac{d}{d x} (3 sec (6 x))

Take the constant out:

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

= 3 \frac{d}{d x} (sec (6 x))

Apply the chain rule:

sec (6 x) tan (6 x) \frac{d}{d x} (6 x)

= sec (6 x) tan (6 x) \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= 3 sec (6 x) tan (6 x) \cdot 6

Simplify

= 18 sec (6 x) tan (6 x)

\frac{10}{s ( s + 2 ) ^{2}}

\int_{0}^{\frac{π}{2}} 3 sin^{2} (2 x) d x

f (x) = 3 x^{2} - x

f (x) = 18

y^{^{'}} = \frac{x y ^{3}}{4}, y (0) = 6

What is the derivative of 3sec(6x) ?
The derivative of 3sec(6x) is 18sec(6x)tan(6x)
What is the first derivative of 3sec(6x) ?
The first derivative of 3sec(6x) is 18sec(6x)tan(6x)