What is the derivative of sec^2(6x) ?

The derivative of sec^2(6x) is 12sec^2(6x)tan(6x)

What is the first derivative of sec^2(6x) ?

The first derivative of sec^2(6x) is 12sec^2(6x)tan(6x)

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\frac{d}{d x} (sec^{2} (6 x))

12 sec^{2} (6 x) tan (6 x)

Solution steps

\frac{d}{d x} (sec^{2} (6 x))

Apply the chain rule:

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

= 2 sec (6 x) \frac{d}{d x} (sec (6 x))

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

= 2 sec (6 x) sec (6 x) tan (6 x) \cdot 6

Simplify

2 sec (6 x) sec (6 x) tan (6 x) \cdot 6 : 12 sec^{2} (6 x) tan (6 x)

= 12 sec^{2} (6 x) tan (6 x)

\frac{d}{d x} (c_{1} e^{x} + c_{2} e^{2 x})

\frac{d x}{d t} = t^{5} - \frac{2 x}{t}

\int_{0}^{\frac{π}{6}} x sin (x + y) d x

\frac{d}{d x} (ln (1 + 10 x))

What is the derivative of sec^2(6x) ?
The derivative of sec^2(6x) is 12sec^2(6x)tan(6x)
What is the first derivative of sec^2(6x) ?
The first derivative of sec^2(6x) is 12sec^2(6x)tan(6x)