What is the derivative of 8tan^2(8x) ?

The derivative of 8tan^2(8x) is 128sec^2(8x)tan(8x)

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

The first derivative of 8tan^2(8x) is 128sec^2(8x)tan(8x)

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derivative of

8 tan^{2} (8 x)

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

Solution steps

\frac{d}{d x} (8 tan^{2} (8 x))

Take the constant out:

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

= 8 \frac{d}{d x} (tan^{2} (8 x))

Apply the chain rule:

2 tan (8 x) \frac{d}{d x} (tan (8 x))

= 2 tan (8 x) \frac{d}{d x} (tan (8 x))

\frac{d}{d x} (tan (8 x)) = sec^{2} (8 x) \cdot 8

= 8 \cdot 2 tan (8 x) sec^{2} (8 x) \cdot 8

Simplify

= 128 sec^{2} (8 x) tan (8 x)

What is the derivative of 8tan^2(8x) ?
The derivative of 8tan^2(8x) is 128sec^2(8x)tan(8x)
What is the first derivative of 8tan^2(8x) ?
The first derivative of 8tan^2(8x) is 128sec^2(8x)tan(8x)