What is the derivative of x^4+5e^x ?

The derivative of x^4+5e^x is 4x^3+5e^x

What is the first derivative of x^4+5e^x ?

The first derivative of x^4+5e^x is 4x^3+5e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

x^{4} + 5 e^{x}

4 x^{3} + 5 e^{x}

Solution steps

\frac{d}{d x} (x^{4} + 5 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (5 e^{x})

\frac{d}{d x} (x^{4}) = 4 x^{3}

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

= 4 x^{3} + 5 e^{x}

What is the derivative of x^4+5e^x ?
The derivative of x^4+5e^x is 4x^3+5e^x
What is the first derivative of x^4+5e^x ?
The first derivative of x^4+5e^x is 4x^3+5e^x