What is the derivative of 5sec(6x) ?

The derivative of 5sec(6x) is 30sec(6x)tan(6x)

What is the first derivative of 5sec(6x) ?

The first derivative of 5sec(6x) is 30sec(6x)tan(6x)

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derivative of

5 sec (6 x)

30 sec (6 x) tan (6 x)

Solution steps

\frac{d}{d x} (5 sec (6 x))

Take the constant out:

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

= 5 \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

= 5 sec (6 x) tan (6 x) \cdot 6

Simplify

= 30 sec (6 x) tan (6 x)

\int_{0}^{l n (15)} x e^{x} d x

\int 2 x (x^{2} + 2)^{4} d x

\frac{d}{d x} (- 3 sin (\frac{x}{3}))

\int e^{3 x + 9} d x

7 sin (4 t + 8) + 3 cos (4 t - 2)

What is the derivative of 5sec(6x) ?
The derivative of 5sec(6x) is 30sec(6x)tan(6x)
What is the first derivative of 5sec(6x) ?
The first derivative of 5sec(6x) is 30sec(6x)tan(6x)