What is the derivative of sin(8xe^{4x}) ?

The derivative of sin(8xe^{4x}) is cos(8x)*8e^{4x}+e^{4x}*4sin(8x)

What is the first derivative of sin(8xe^{4x}) ?

The first derivative of sin(8xe^{4x}) is cos(8x)*8e^{4x}+e^{4x}*4sin(8x)

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 (8 x) e^{4 x})

cos (8 x) \cdot 8 e^{4 x} + e^{4 x} \cdot 4 sin (8 x)

Solution steps

\frac{d}{d x} (sin (8 x) e^{4 x})

Apply the Product Rule:

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

f = sin (8 x), g = e^{4 x}

= \frac{d}{d x} (sin (8 x)) e^{4 x} + \frac{d}{d x} (e^{4 x}) sin (8 x)

\frac{d}{d x} (sin (8 x)) = cos (8 x) \cdot 8

\frac{d}{d x} (e^{4 x}) = e^{4 x} \cdot 4

= cos (8 x) \cdot 8 e^{4 x} + e^{4 x} \cdot 4 sin (8 x)

ln (x^{2} - 4)

\int sin (x) (- 8 x cos (2 x)) d x

x \to 0 lim (3 x + 2)

f (x) = \frac{2}{3 x}

2 x e^{- 2 x}

What is the derivative of sin(8xe^{4x}) ?
The derivative of sin(8xe^{4x}) is cos(8x)*8e^{4x}+e^{4x}*4sin(8x)
What is the first derivative of sin(8xe^{4x}) ?
The first derivative of sin(8xe^{4x}) is cos(8x)*8e^{4x}+e^{4x}*4sin(8x)