What is the derivative of e^{2cos(3x}) ?

The derivative of e^{2cos(3x}) is -6e^{2cos(3x)}sin(3x)

What is the first derivative of e^{2cos(3x}) ?

The first derivative of e^{2cos(3x}) is -6e^{2cos(3x)}sin(3x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (e^{2 c o s (3 x)})

- 6 e^{2 c o s (3 x)} sin (3 x)

Solution steps

\frac{d}{d x} (e^{2 c o s (3 x)})

Apply the chain rule:

e^{2 c o s (3 x)} \frac{d}{d x} (2 cos (3 x))

= e^{2 c o s (3 x)} \frac{d}{d x} (2 cos (3 x))

\frac{d}{d x} (2 cos (3 x)) = - 6 sin (3 x)

= e^{2 c o s (3 x)} (- 6 sin (3 x))

Simplify

= - 6 e^{2 c o s (3 x)} sin (3 x)

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = - 9

y^{2} - 6 x = 1, x - y = 1

\int - e^{- 2 x} x d x

\int (e) d x

x \to 0 lim (\frac{sin ( x )}{x} + 3)

What is the derivative of e^{2cos(3x}) ?
The derivative of e^{2cos(3x}) is -6e^{2cos(3x)}sin(3x)
What is the first derivative of e^{2cos(3x}) ?
The first derivative of e^{2cos(3x}) is -6e^{2cos(3x)}sin(3x)