What is the derivative of 3sec^2(3x) ?

The derivative of 3sec^2(3x) is 18sec^2(3x)tan(3x)

What is the first derivative of 3sec^2(3x) ?

The first derivative of 3sec^2(3x) is 18sec^2(3x)tan(3x)

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\frac{d}{d x} (3 sec^{2} (3 x))

18 sec^{2} (3 x) tan (3 x)

Solution steps

\frac{d}{d x} (3 sec^{2} (3 x))

Take the constant out:

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

= 3 \frac{d}{d x} (sec^{2} (3 x))

Apply the chain rule:

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

= 2 sec (3 x) \frac{d}{d x} (sec (3 x))

\frac{d}{d x} (sec (3 x)) = sec (3 x) tan (3 x) \cdot 3

= 3 \cdot 2 sec (3 x) sec (3 x) tan (3 x) \cdot 3

Simplify

3 \cdot 2 sec (3 x) sec (3 x) tan (3 x) \cdot 3 : 18 sec^{2} (3 x) tan (3 x)

= 18 sec^{2} (3 x) tan (3 x)

\frac{x}{x ^{2} + 1}

\int (5 + cot^{2} (x)) d x

\frac{s}{s ^{2} + 2 s}

x \to \infty lim (5 + \frac{3}{x})

\int 3 3 - 4 x^{2} (- 8 x) d x

What is the derivative of 3sec^2(3x) ?
The derivative of 3sec^2(3x) is 18sec^2(3x)tan(3x)
What is the first derivative of 3sec^2(3x) ?
The first derivative of 3sec^2(3x) is 18sec^2(3x)tan(3x)