What is the derivative of (x+ae^{3x}) ?

The derivative of (x+ae^{3x}) is e^{3x}+3e^{3x}(x+a)

What is the first derivative of (x+ae^{3x}) ?

The first derivative of (x+ae^{3x}) is e^{3x}+3e^{3x}(x+a)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

e^{3 x} + 3 e^{3 x} (x + a)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x + a, g = e^{3 x}

= \frac{d}{d x} (x + a) e^{3 x} + \frac{d}{d x} (e^{3 x}) (x + a)

\frac{d}{d x} (x + a) = 1

\frac{d}{d x} (e^{3 x}) = e^{3 x} \cdot 3

= 1 \cdot e^{3 x} + e^{3 x} \cdot 3 (x + a)

Simplify

= e^{3 x} + 3 e^{3 x} (x + a)

\frac{d}{d y} (y)

\int_{0}^{1} e^{x^{3}} d x

f (x) = \frac{- 2 x}{x ^{2} + 1}, (1, - 1)

\int \frac{x}{64 x ^{2} - 1} d x

\frac{\partial}{\partial x} ((13 - x)^{80})

What is the derivative of (x+ae^{3x}) ?
The derivative of (x+ae^{3x}) is e^{3x}+3e^{3x}(x+a)
What is the first derivative of (x+ae^{3x}) ?
The first derivative of (x+ae^{3x}) is e^{3x}+3e^{3x}(x+a)