What is the derivative of tan^2(4x) ?

The derivative of tan^2(4x) is 8sec^2(4x)tan(4x)

What is the first derivative of tan^2(4x) ?

The first derivative of tan^2(4x) is 8sec^2(4x)tan(4x)

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derivative of

tan^{2} (4 x)

8 sec^{2} (4 x) tan (4 x)

Solution steps

\frac{d}{d x} (tan^{2} (4 x))

Apply the chain rule:

2 tan (4 x) \frac{d}{d x} (tan (4 x))

= 2 tan (4 x) \frac{d}{d x} (tan (4 x))

\frac{d}{d x} (tan (4 x)) = sec^{2} (4 x) \cdot 4

= 2 tan (4 x) sec^{2} (4 x) \cdot 4

Simplify

= 8 sec^{2} (4 x) tan (4 x)

What is the derivative of tan^2(4x) ?
The derivative of tan^2(4x) is 8sec^2(4x)tan(4x)
What is the first derivative of tan^2(4x) ?
The first derivative of tan^2(4x) is 8sec^2(4x)tan(4x)