en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of e^{sec(3x})

Solution

\frac{d}{d x} (e^{s e c (3 x)})

Solution

e^{s e c (3 x)} sec (3 x) tan (3 x) \cdot 3

Solution steps

\frac{d}{d x} (e^{s e c (3 x)})

Apply the chain rule:

e^{s e c (3 x)} \frac{d}{d x} (sec (3 x))

= e^{s e c (3 x)} \frac{d}{d x} (sec (3 x))

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

= e^{s e c (3 x)} sec (3 x) tan (3 x) \cdot 3

Graph

Popular Examples

sum from n=1 to infinity}((-1)^{n+1 of n)/(n^2+1)

n = 1 \sum \infty \frac{( - 1 ) ^{n + 1} n}{n ^{2} + 1}

integral of (-21x^2-4x)cos(-7x^3-2x^2-2)

\int (- 21 x^{2} - 4 x) cos (- 7 x^{3} - 2 x^{2} - 2) d x

tangent of f(x)=2x^2,\at x=2

t an g e n t f (x) = 2 x^{2}, at x = 2

(\partial)/(\partial x)(4x^3y^2-3)

\frac{\partial}{\partial x} (4 x^{3} y^{2} - 3)

integral of-2+24x-12x^2

\int - 2 + 24 x - 12 x^{2} d x

Frequently Asked Questions (FAQ)

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