What is the derivative of-7x^3e^x-21x^2e^x ?

The derivative of-7x^3e^x-21x^2e^x is -7e^xx^3-42e^xx^2-42e^xx

What is the first derivative of-7x^3e^x-21x^2e^x ?

The first derivative of-7x^3e^x-21x^2e^x is -7e^xx^3-42e^xx^2-42e^xx

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

- 7 x^{3} e^{x} - 21 x^{2} e^{x}

- 7 e^{x} x^{3} - 42 e^{x} x^{2} - 42 e^{x} x

Solution steps

\frac{d}{d x} (- 7 x^{3} e^{x} - 21 x^{2} e^{x})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (7 x^{3} e^{x}) - \frac{d}{d x} (21 x^{2} e^{x})

\frac{d}{d x} (7 x^{3} e^{x}) = 7 (3 x^{2} e^{x} + e^{x} x^{3})

\frac{d}{d x} (21 x^{2} e^{x}) = 21 (2 x e^{x} + e^{x} x^{2})

= - 7 (3 x^{2} e^{x} + e^{x} x^{3}) - 21 (2 x e^{x} + e^{x} x^{2})

Simplify

- 7 (3 x^{2} e^{x} + e^{x} x^{3}) - 21 (2 x e^{x} + e^{x} x^{2}) : - 7 e^{x} x^{3} - 42 e^{x} x^{2} - 42 e^{x} x

= - 7 e^{x} x^{3} - 42 e^{x} x^{2} - 42 e^{x} x

x \to 2 + lim ((x - 2)^{2})

3 x^{2} + 6 x + 4

\frac{d}{d x} (\frac{2 x}{4 x - 3})

14 t - sin (7 t)

What is the derivative of-7x^3e^x-21x^2e^x ?
The derivative of-7x^3e^x-21x^2e^x is -7e^xx^3-42e^xx^2-42e^xx
What is the first derivative of-7x^3e^x-21x^2e^x ?
The first derivative of-7x^3e^x-21x^2e^x is -7e^xx^3-42e^xx^2-42e^xx