What is the derivative of 7x^6e^x+e^xx^7 ?

The derivative of 7x^6e^x+e^xx^7 is e^xx^7+14e^xx^6+42e^xx^5

What is the first derivative of 7x^6e^x+e^xx^7 ?

The first derivative of 7x^6e^x+e^xx^7 is e^xx^7+14e^xx^6+42e^xx^5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

7 x^{6} e^{x} + e^{x} x^{7}

e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

Solution steps

\frac{d}{d x} (7 x^{6} e^{x} + e^{x} x^{7})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (7 x^{6} e^{x}) + \frac{d}{d x} (e^{x} x^{7})

\frac{d}{d x} (7 x^{6} e^{x}) = 7 (6 x^{5} e^{x} + e^{x} x^{6})

\frac{d}{d x} (e^{x} x^{7}) = e^{x} x^{7} + 7 x^{6} e^{x}

= 7 (6 x^{5} e^{x} + e^{x} x^{6}) + e^{x} x^{7} + 7 x^{6} e^{x}

Simplify

7 (6 x^{5} e^{x} + e^{x} x^{6}) + e^{x} x^{7} + 7 x^{6} e^{x} : e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

= e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

\int cos (3 x + 5) d x

\frac{d}{d t} (2 t)

\frac{\partial}{\partial x} (sin (x) cos (i y))

\int x sin (\frac{1}{x}) d x

\int \frac{2}{2 x} d x

What is the derivative of 7x^6e^x+e^xx^7 ?
The derivative of 7x^6e^x+e^xx^7 is e^xx^7+14e^xx^6+42e^xx^5
What is the first derivative of 7x^6e^x+e^xx^7 ?
The first derivative of 7x^6e^x+e^xx^7 is e^xx^7+14e^xx^6+42e^xx^5