What is the derivative of tan(2t) ?

The derivative of tan(2t) is sec^2(2t)*2

What is the first derivative of tan(2t) ?

The first derivative of tan(2t) is sec^2(2t)*2

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derivative of

tan (2 t)

sec^{2} (2 t) \cdot 2

Solution steps

\frac{d}{d t} (tan (2 t))

Apply the chain rule:

sec^{2} (2 t) \frac{d}{d t} (2 t)

= sec^{2} (2 t) \frac{d}{d t} (2 t)

\frac{d}{d t} (2 t) = 2

= sec^{2} (2 t) \cdot 2

What is the derivative of tan(2t) ?
The derivative of tan(2t) is sec^2(2t)*2
What is the first derivative of tan(2t) ?
The first derivative of tan(2t) is sec^2(2t)*2