What is the derivative of e^{tan(3x}) ?

The derivative of e^{tan(3x}) is e^{tan(3x)}sec^2(3x)*3

What is the first derivative of e^{tan(3x}) ?

The first derivative of e^{tan(3x}) is e^{tan(3x)}sec^2(3x)*3

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\frac{d}{d x} (e^{t a n (3 x)})

e^{t a n (3 x)} sec^{2} (3 x) \cdot 3

Solution steps

\frac{d}{d x} (e^{t a n (3 x)})

Apply the chain rule:

e^{t a n (3 x)} \frac{d}{d x} (tan (3 x))

= e^{t a n (3 x)} \frac{d}{d x} (tan (3 x))

\frac{d}{d x} (tan (3 x)) = sec^{2} (3 x) \cdot 3

= e^{t a n (3 x)} sec^{2} (3 x) \cdot 3

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t^{3} + 4 t^{2} + 5

\frac{d}{d x} (6 e^{x} + 2)

\int_{0}^{\frac{π}{2}} sin^{7} (y) d y

What is the derivative of e^{tan(3x}) ?
The derivative of e^{tan(3x}) is e^{tan(3x)}sec^2(3x)*3
What is the first derivative of e^{tan(3x}) ?
The first derivative of e^{tan(3x}) is e^{tan(3x)}sec^2(3x)*3