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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{t a n (θ)}

e^{t a n (θ)} sec^{2} (θ)

Solution steps

\frac{d}{d θ} (e^{t a n (θ)})

Apply the chain rule:

e^{t a n (θ)} \frac{d}{d θ} (tan (θ))

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

\frac{d}{d θ} (tan (θ)) = sec^{2} (θ)

= e^{t a n (θ)} sec^{2} (θ)

\frac{\partial}{\partial x} (y ln (3 x + 5 y))

x, 2 x - 15, 0

x \to 0 lim (x^{4} cos (\frac{7}{x}))

\int_{- 1}^{1} 7 x^{2} - 4 x - 3 d x

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