What is the derivative of tan^2(6θ) ?

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

What is the first derivative of tan^2(6θ) ?

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

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derivative of

tan^{2} (6 θ)

12 sec^{2} (6 θ) tan (6 θ)

Solution steps

\frac{d}{d θ} (tan^{2} (6 θ))

Apply the chain rule:

2 tan (6 θ) \frac{d}{d θ} (tan (6 θ))

= 2 tan (6 θ) \frac{d}{d θ} (tan (6 θ))

\frac{d}{d θ} (tan (6 θ)) = sec^{2} (6 θ) \cdot 6

= 2 tan (6 θ) sec^{2} (6 θ) \cdot 6

Simplify

= 12 sec^{2} (6 θ) tan (6 θ)

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