What is the derivative of e^{tan(2x+1}) ?

The derivative of e^{tan(2x+1}) is e^{tan(2x+1)}sec^2(2x+1)*2

What is the first derivative of e^{tan(2x+1}) ?

The first derivative of e^{tan(2x+1}) is e^{tan(2x+1)}sec^2(2x+1)*2

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\frac{d}{d x} (e^{t a n (2 x + 1)})

e^{t a n (2 x + 1)} sec^{2} (2 x + 1) \cdot 2

Solution steps

\frac{d}{d x} (e^{t a n (2 x + 1)})

Apply the chain rule:

e^{t a n (2 x + 1)} \frac{d}{d x} (tan (2 x + 1))

= e^{t a n (2 x + 1)} \frac{d}{d x} (tan (2 x + 1))

\frac{d}{d x} (tan (2 x + 1)) = sec^{2} (2 x + 1) \cdot 2

= e^{t a n (2 x + 1)} sec^{2} (2 x + 1) \cdot 2

What is the derivative of e^{tan(2x+1}) ?
The derivative of e^{tan(2x+1}) is e^{tan(2x+1)}sec^2(2x+1)*2
What is the first derivative of e^{tan(2x+1}) ?
The first derivative of e^{tan(2x+1}) is e^{tan(2x+1)}sec^2(2x+1)*2