What is the derivative of tan^2(9x) ?

The derivative of tan^2(9x) is 18sec^2(9x)tan(9x)

What is the first derivative of tan^2(9x) ?

The first derivative of tan^2(9x) is 18sec^2(9x)tan(9x)

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derivative of

tan^{2} (9 x)

18 sec^{2} (9 x) tan (9 x)

Solution steps

\frac{d}{d x} (tan^{2} (9 x))

Apply the chain rule:

2 tan (9 x) \frac{d}{d x} (tan (9 x))

= 2 tan (9 x) \frac{d}{d x} (tan (9 x))

\frac{d}{d x} (tan (9 x)) = sec^{2} (9 x) \cdot 9

= 2 tan (9 x) sec^{2} (9 x) \cdot 9

Simplify

= 18 sec^{2} (9 x) tan (9 x)

What is the derivative of tan^2(9x) ?
The derivative of tan^2(9x) is 18sec^2(9x)tan(9x)
What is the first derivative of tan^2(9x) ?
The first derivative of tan^2(9x) is 18sec^2(9x)tan(9x)