What is the derivative of sin(5xe^{3x}) ?

The derivative of sin(5xe^{3x}) is cos(5x)*5e^{3x}+e^{3x}*3sin(5x)

What is the first derivative of sin(5xe^{3x}) ?

The first derivative of sin(5xe^{3x}) is cos(5x)*5e^{3x}+e^{3x}*3sin(5x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (sin (5 x) e^{3 x})

cos (5 x) \cdot 5 e^{3 x} + e^{3 x} \cdot 3 sin (5 x)

Solution steps

\frac{d}{d x} (sin (5 x) e^{3 x})

Apply the Product Rule:

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

f = sin (5 x), g = e^{3 x}

= \frac{d}{d x} (sin (5 x)) e^{3 x} + \frac{d}{d x} (e^{3 x}) sin (5 x)

\frac{d}{d x} (sin (5 x)) = cos (5 x) \cdot 5

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

= cos (5 x) \cdot 5 e^{3 x} + e^{3 x} \cdot 3 sin (5 x)

2 y^{^{'}} + 3 y = 0

\frac{\partial}{\partial x} (\frac{2}{2 x - 2 z + 1})

x \cdot 3 x^{2} + 5

x^{2}, x, - 1, 1

x^{2} - 2, x, - 2, 2

What is the derivative of sin(5xe^{3x}) ?
The derivative of sin(5xe^{3x}) is cos(5x)*5e^{3x}+e^{3x}*3sin(5x)
What is the first derivative of sin(5xe^{3x}) ?
The first derivative of sin(5xe^{3x}) is cos(5x)*5e^{3x}+e^{3x}*3sin(5x)