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

The derivative of e^{sin(3x}) is e^{sin(3x)}cos(3x)*3

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

The first derivative of e^{sin(3x}) is e^{sin(3x)}cos(3x)*3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

e^{s i n (3 x)} cos (3 x) \cdot 3

Solution steps

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

Apply the chain rule:

e^{s i n (3 x)} \frac{d}{d x} (sin (3 x))

= e^{s i n (3 x)} \frac{d}{d x} (sin (3 x))

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

= e^{s i n (3 x)} cos (3 x) \cdot 3

y^{^{'}} - 2 y = 2 - 4 x

\frac{\partial}{\partial x} (\frac{- 18 x}{( x - y ) ^{4}})

f (x) = \frac{100}{x ^{5}}

\frac{d}{d x} ((x - 1) ∣ x - 1 ∣)

\int_{1}^{4} 6 t ln (t) d t

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