What is the derivative derivative of e^{tan(2x}) ?

The derivative derivative of e^{tan(2x}) is e^{tan(2x)}sec^2(2x)*2

What is the first derivative derivative of e^{tan(2x}) ?

The first derivative derivative of e^{tan(2x}) is e^{tan(2x)}sec^2(2x)*2

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derivative of

\frac{d}{d x} (e^{t a n (2 x)})

e^{t a n (2 x)} sec^{2} (2 x) \cdot 2

Solution steps

\frac{d}{d x} (e^{t a n (2 x)})

Apply the chain rule:

e^{t a n (2 x)} \frac{d}{d x} (tan (2 x))

= e^{t a n (2 x)} \frac{d}{d x} (tan (2 x))

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

= e^{t a n (2 x)} sec^{2} (2 x) \cdot 2

What is the derivative derivative of e^{tan(2x}) ?
The derivative derivative of e^{tan(2x}) is e^{tan(2x)}sec^2(2x)*2
What is the first derivative derivative of e^{tan(2x}) ?
The first derivative derivative of e^{tan(2x}) is e^{tan(2x)}sec^2(2x)*2